{"id":"12107de9-18f3-4663-b4ae-5828c30cc879","arxiv_id":"2501.03561","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":3,"one_line_summary":"Holographic simulations show that composite vortices in miscible binary superfluids split into singly quantized vortices with temperature-dependent instabilities and no persistent extra vortices.","lead":"This paper uses a holographic model of two coupled superfluids at finite temperature to study how composite vortices, which combine co- or counter-rotating winding numbers in two components, split apart. It finds that temperature and dissipation change the splitting patterns compared to the standard Gross-Pitaevskii description, with final states always being singly quantized vortices and no long-lived extra vortices.","discovery_kind":"new_application","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The universality of the final-state claim depends on an unproven completeness of unstable perturbation channels (p≤3) and on finite-time simulations as evidence for 'no long-lived vortices'; neither is currently quantified.","rationale":"I read the paper in good faith as establishing, within the stated probe-limit, identical-component, miscible holographic model, that axisymmetric composite vortices (S1,S2) with max|Si|≤2 have the dominant instabilities in the p=1,2,3 channels and that the presented full nonlinear evolutions end with fundamental singly quantized vortices. The authors also explicitly show in Figure 12 that manually enhanced p=3 perturbations can create transient additional vortices that later annihilate, which is direct evidence for dissipation-induced annihilation. The strongest claim, however, generalizes from these cases to 'all composite vortices' and 'generic perturbations'. For that generalization to hold, three conditions must be true: (i) no overlooked unstable channel with p≥4 contributes in the studied parameter range; (ii) any transient vortex-antivortex pairs always annihilate before the end of the simulation; and (iii) the observed annihilation is physical rather than an artifact of numerical dissipation or finite-domain boundary conditions. The paper asserts (i) without presenting supporting spectra, supports (ii) only through finite-time snapshots, and provides no convergence tests or quantitative annihilation-time analysis for (iii). These are internal evidential gaps, not merely disagreements with the GPE-based consensus. The reader's identified weakest assumption, the probe limit, is a legitimate concern for mapping to generic strongly interacting superfluids, but the more load-bearing issue for the paper's central universal claim is the completeness of instability channels and the finite-time extrapolation to 'no long-lived vortex'. The reader's CONDITIONAL verdict remains appropriate: the work is a valuable numerical study with a plausible central narrative, but the universality claim needs the additional checks described before unconditional acceptance. I therefore recommend no change to the verdict.","tokens_in":13358,"tokens_out":4309,"duration_ms":47658,"concrete_test":"Compute the full QNM spectrum for angular momentum p=4 and p=5 for each (S1,S2) ∈ {(2,1),(2,-1),(2,2),(2,-2)} at T/Tc = 0.339, 0.677, and 0.9 with ν = -0.1 and -0.2, using the same linearized eigenvalue problem (4.3). If any Im(ω)>0 is found, seed that mode at small amplitude in the nonlinear code and track the number and positions of phase singularities in |O1| and |O2| until a plateau is reached, recording whether any additional vortex pair survives beyond the original splitting products. Separately rerun the (2,-2) evolutions of Figures 11–12 with doubled radial resolution and doubled box size, and record the annihilation time of transient vortex-antivortex pairs; if the final vortex count changes or the annihilation time shifts materially, the 'no long-lived vortex' statement is not established.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central conclusion—'the final states of all composite vortices are generally singly quantized vortices, and no additional long living vortex is formed'—requires that every relevant dynamical instability has been included and that transient vortex-antivortex pairs genuinely annihilate because of physical dissipation. Section 4 states: 'In principle we should consider all integer values of p, numerical evidence indicates that only p=1,2,3 modes are sufficient since other modes are all stable.' No spectrum for p≥4 is shown, so this is an assertion rather than a demonstrated result. If a p=4 or p=5 mode were unstable in some temperature window, its higher multipolarity could nucleate additional vortex pairs whose fate is not covered by the presented simulations, weakening the 'generic perturbations' universality. In addition, the non-linear time evolutions in Figures 6–12 are finite-time runs without reported convergence tests, error estimates, or a comparison of simulation duration with the dissipation/annihilation timescale. The phrase 'long living' is never quantified, so 'we do not see additional long-lived vortices' is an extrapolation from finite data. The probe limit is a real modeling restriction, but it is less directly threatening to the internal argument than the unverified completeness of unstable modes and the absence of convergence/annihilation-time checks.","agreement_with_reader":"partial"},"referee_report":{"model":"deepseek-v4-flash","summary":"This paper studies the fate of composite vortices in a holographic model of a miscible binary superfluid at finite temperature. The authors construct stationary axisymmetric vortex solutions with winding pairs (S1,S2), compute quasinormal-mode spectra for azimuthal perturbation channels p=1,2,3 as functions of T/Tc and inter-component coupling, and integrate the nonlinear bulk equations to show that unstable composite vortices split into singly quantized fundamental vortices. They report temperature-dependent transitions and claim that, unlike zero-temperature Gross-Pitaevskii dynamics, holographic dissipation prevents the formation of long-lived additional vortex pairs.","tokens_in":13601,"tokens_out":5951,"duration_ms":52537,"significance":"If correct, the central result constitutes an explicit finite-temperature, strong-coupling extension of the GPE vortex-splitting phenomenology and gives falsifiable predictions about the absence of long-lived extra vortices. The manuscript is clear and self-contained: the bulk action, boundary conditions, scaling conventions, and numerical scheme are stated, and the comparison with GPE results (e.g., the p=3 instability of (2,-1) and the extra vortices in (2,-2)) is concrete. The probe-limit approximation is acknowledged in Section 2 and is a standard first step. However, the universal conclusion ('all composite vortices... no additional long living vortex') rests on two pieces of evidence that are not fully quantified: completeness of the unstable mode set and finite simulation duration. These gaps are addressable.","major_comments":[{"comment":"The restriction to p=1,2,3 is asserted rather than demonstrated. The sentence \"In principle we should consider all integer values of p, numerical evidence indicates that only p=1,2,3 modes are sufficient since other modes are all stable\" is not accompanied by spectra for p>=4 or by a selection rule that excludes higher multipoles. Since the abstract and Section 5 state a universal claim over \"all composite vortices\" and \"generic perturbations\", an unstable p>=4 mode in the parameter range of Figures 4-5 would create additional vortex pairs not covered by the simulations. Please provide either an analytic argument limiting instability to low p or numerical spectra for p=4 and p=5 across the studied T/Tc and nu range, or restrict the claim accordingly.","section":"Section 4, after Eq. (4.3)"},{"comment":"The nonlinear evolutions are finite-time runs without convergence tests, error estimates, or a statement of how the integration duration compares with the dissipation/annihilation timescale. The conclusion's phrase \"long living\" is never quantified. As written, \"we do not see additional long-lived vortices\" is an extrapolation from finite simulations. Please report the total simulated time, grid spacing and time-step convergence, and compare run duration with the QNM decay rates or vortex-antivortex annihilation timescale; alternatively, soften the claim to \"within the simulated time window\".","section":"Sections 4.1-4.4 and Figures 6-12"},{"comment":"The statement that the final state is obtained \"regardless the initial perturbations\" is stronger than the evidence presented. The simulations in Figures 6-12 start from the stationary solution plus small perturbations with specific p-modes, including one case where the p=3 mode is manually enhanced. No random-phase or multi-mode generic perturbation ensemble is shown. To support the universal wording, either demonstrate that the final state is independent of perturbation amplitudes and phases, or rephrase the conclusion to refer to the perturbations considered.","section":"Section 5, first paragraph"}],"minor_comments":[{"comment":"The phrase \"The composite vortices is classified\" should use the plural verb: \"are classified\".","section":"Abstract"},{"comment":"The sentence \"the decay of the vortiex in to a (1,0) and a (0,-1) vortex\" contains typos: \"vortiex\" should be \"vortex\" and \"in to\" should be \"into\".","section":"Section 4.2"},{"comment":"The reference \"See Figure 4(b)&(c) and Figure 4\" appears to have an incomplete second citation; likely \"Figure 5\" is intended.","section":"Section 4.2"},{"comment":"The phrase \"This is in consistence with\" should be \"consistent with\".","section":"Section 4.4"},{"comment":"The word \"Addtional\" should be \"Additional\".","section":"Section 5"},{"comment":"Reference [25] is incomplete: \"2409.08310\" should be formatted as \"arXiv:2409.08310\".","section":"References, [25]"}],"recommendation":"major_revision","confidential_remarks":"The paper's central claim is plausible but currently overreaches the numerical evidence. The main risk is not circularity or internal inconsistency but the unverified assumption that p>=4 modes are stable and the lack of convergence/duration data for the nonlinear runs. I would encourage the editor to require the requested additions before acceptance. The self-citation pattern is appropriate given that the numerical scheme and immiscible-case results are prior work by the same group."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"First holographic study of composite-vortex splitting in miscible binary superfluids, and a decent one. The real content is the temperature dependence: the (1,1) vortex stabilizes at low T, the dominant mode switches between p=1 and p=2 for (2,1), and the p=3 channel is unstable for (2,−1) where GPE says it is stable. The sharpest physics is the contrast with zero-temperature GPE on the (2,−2) vortex, where the weakly coupled theory predicts extra surviving vortices and the holographic evolution does not. Figure 12 — p=3 explicitly seeded, extra vortex pairs appear and annihilate — is the right kind of evidence for that claim, and it is the paper's strongest moment.\n\nThe equations, boundary conditions, and spectrum extraction are stated clearly, and the quasinormal-mode analysis is standard for this literature. The citation pattern is fine; the self-citations are to the same model and the same numerical scheme, which is legitimate.\n\nSoft spots, in order of how much they matter. First, 'long living' is never quantified, and the nonlinear runs are finite-time with no convergence tests or error estimates. The conclusion that all composite vortices decay to singly quantized fundamentals under generic perturbations is an extrapolation from a finite set of simulations, not something the numerics strictly prove. I do not think this kills the paper — the pattern is consistent across every case shown — but the universality claim is stated more strongly than the evidence supports. Second, the p≤3 truncation is asserted, not demonstrated: 'numerical evidence indicates that only p=1,2,3 modes are sufficient,' with no spectrum shown for p≥4. For S=2 vortices I would expect the higher multipoles to be stable, so the assertion is probably correct, but it is cheap to verify and a referee should ask for it. The probe limit freezes the normal-fluid dynamics; the authors flag it themselves, and it is the standard first pass. It could shift quantitative instability strengths, but I would be surprised if it changed the qualitative picture. That is a scope condition, not a flaw.\n\nOne thing the reader's report underplays: the dynamical transitions (e.g., (1,1) merging at low T, (2,1) stabilization) are themselves interesting and testable predictions, and they make the paper more than a dry numerical exercise.\n\nWho this is for: people in holographic superfluids and multicomponent vortex dynamics. It deserves a serious referee. Ask for convergence checks, a p≥4 spot-check, and a quantified statement about lifetimes; then the universality claim can go in as a robust statement instead of a slogan. Recommendation: send to review, conditional on tightening the final-state claim and reporting the numerical checks.","headline":"First holographic study of composite vortex splitting in miscible binary superfluids; genuinely new temperature-dependent dynamics versus GPE, but the 'no long-lived vortices' universality claim needs sharper numerical support.","tokens_in":14098,"tokens_out":7080,"would_cite":true,"duration_ms":62224,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"In strongly interacting binary superfluids at finite temperature, composite vortices split into fundamental singly quantized vortices, and strong dissipation prevents extra vortex pairs from surviving.","keywords":["composite vortices","binary superfluids","holographic superfluids","dynamical instability","quasinormal modes","dissipation","vortex splitting","temperature transitions"],"falsifier":"Run a fully backreacted holographic simulation (or a finite-temperature dissipative Gross-Pitaevskii simulation) of a $(2,-2)$ composite vortex and count the late-time vortices; the paper's claim fails if more than two $(1,0)$ and two $(0,-1)$ vortices survive for long times. Alternatively, in an experiment with a strongly interacting binary superfluid, prepare a doubly charged composite vortex and observe whether any extra vortex-antivortex pair outlives the initial splitting.","tokens_in":13141,"feed_emoji":"🌀","tokens_out":4649,"duration_ms":39677,"temperature":0.7,"pith_summary":"This paper studies what happens to multiply wound composite vortices in a strongly interacting, finite-temperature binary superfluid. Using a holographic model that naturally incorporates dissipation, the authors find that every unstable composite vortex eventually decays into fundamental singly quantized vortices, one per unit of winding number. They identify temperature-driven changes in which splitting mode dominates, and they show that strong dissipation suppresses the long-lived extra vortex-antivortex pairs seen in zero-temperature Gross-Pitaevskii calculations. The result matters because it predicts a qualitative difference between weakly interacting cold-atom superfluids and strongly interacting dissipative ones.","feed_headline":"Dissipation makes composite vortices split into single quanta","feed_subtitle":"Holographic simulations show temperature controls the splitting mode in binary superfluids, unlike cold weakly interacting gases.","key_machinery":"The central object is the composite vortex, a pair of winding numbers $(S_1,S_2)$ for the two superfluid condensates sharing a common core, either co-rotating or counter-rotating. The argument runs through the holographic duality: a two-component charged scalar action in a fixed Schwarzschild-AdS black brane background (the probe limit), where the black hole supplies the temperature and dissipation. Linear stability is read off from the quasinormal spectrum of the dual black hole—an imaginary frequency with $\\operatorname{Im}(\\omega)>0$ signals a splitting instability—and the nonlinear outcome is obtained by full time evolution of the bulk equations. The comparison baseline is the zero-temperature, dissipation-free Gross-Pitaevskii description, whose predictions for these same vortex configurations were computed elsewhere.","core_discovery":"The central claim is that, in a holographic miscible binary superfluid with strong coupling and finite temperature, the final state of any composite vortex labeled by windings $(S_1,S_2)$ is generically $S_1$ copies of the $(1,0)$ vortex and $|S_2|$ copies of the $(0,\\pm1)$ vortex, with no additional long-lived vortex created. The instability channels and their growth rates are temperature dependent, producing dynamical transitions for the $(1,1)$, $(2,\\pm1)$, and $(2,2)$ vortices; for example, $(1,1)$ becomes stable at low temperature while $(1,-1)$ is always unstable. This contrasts with Gross-Pitaevskii dynamics, where extra vortex pairs can survive, and the authors attribute the difference to strong dissipation in holographic superfluids. The claim is established by solving quasinormal modes around stationary vortex solutions and then integrating the full nonlinear time evolution.","pith_inferences":["If the dissipation-truncation picture holds, then at even higher winding numbers one expects the same 'one fundamental vortex per unit winding' final state, but with intermediate multi-vortex clusters that never survive.","The effective two-vortex interaction picture (attraction for co-rotating, repulsion for counter-rotating) suggests the possibility of vortex-cluster bound states in two-component superfluids, which the authors mention but do not explore.","The temperature-dependent transition for the $(2,1)$ vortex hints that a singly quantized vortex in one component can act as a stabilizer of a doubly quantized vortex in the other at low temperature, analogous to vortex-bright solitons in immiscible fluids.","A testable extension: quench a miscible binary superfluid across the transition temperature and monitor whether the leading splitting channel changes as predicted by the $\\operatorname{Im}(\\omega)$ curves."],"forward_implications":["Temperature, not just interaction strength, selects which splitting mode ($p=1,2,3$) dominates, so cooling a sample can switch the decay pattern.","The $(1,1)$ vortex is stable at low temperatures while $(1,-1)$ is not, implying an effective short-range attraction between a $(1,0)$ and a $(0,1)$ vortex and repulsion between counter-rotating partners.","Final states are universal fundamental vortices, so measuring the late-time vortex count gives a direct probe of dissipation strength in strongly interacting superfluids.","The absence of long-lived extra vortices distinguishes strongly coupled dissipative superfluids from weakly coupled zero-temperature gases, offering a clean experimental signature."],"supporting_citations":[{"why":"Supplies the original holographic superconductor construction on which the model is based.","marker":"[1]"},{"why":"Provides the holographic model of superfluidity with a black hole background giving finite temperature and dissipation.","marker":"[2]"},{"why":"Establishes the splitting of doubly quantized vortices in single-component holographic superfluids, the baseline for the (2,0) case.","marker":"[9]"},{"why":"Shows temperature-dependent splitting patterns for higher-charge holographic vortices, informing the dynamical-transition analysis.","marker":"[10]"},{"why":"Gives GPE results for counter-rotating vortices in miscible two-component BECs, one of the weakly interacting contrasts.","marker":"[16]"},{"why":"Provides the GPE prediction of additional vortex generation during splitting, which the holographic result contradicts.","marker":"[20]"},{"why":"Computes the GPE splitting of singly and doubly quantized composite vortices, the direct comparison baseline for the winding-number pairs studied here.","marker":"[24]"},{"why":"Supplies the numerical method and the previously studied immiscible vortex-bright soliton case that this work extends to miscible fluids.","marker":"[25]"}],"fun_headline_variants":["Holographic vortices split by temperature","Dissipation controls vortex splitting modes","Binary superfluid vortices break into units","Temperature drives vortex instability transitions","Composite vortices always end as single quanta"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The matter fields are treated in the probe limit, so they do not react back on the spacetime geometry; if backreaction or a dynamical normal fluid were included, the instability strengths and final splitting patterns could change.","fun_headline_variants_meta":{"raw":{"variants":["Holographic vortices split by temperature","Dissipation controls vortex splitting modes","Binary superfluid vortices break into units","Temperature drives vortex instability transitions","Composite vortices always end as single quanta"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.00018,"raw_usage":{"total_tokens":1340,"prompt_tokens":1018,"completion_tokens":322,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":634,"completion_tokens_details":{"reasoning_tokens":260}},"tokens_in":634,"tokens_out":322,"duration_ms":3545,"temperature":1.0,"reasoning_tokens":260,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-10T21:52:25.786540+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Run a fully backreacted holographic simulation (or a finite-temperature dissipative Gross-Pitaevskii simulation) of a $(2,-2)$ composite vortex and count the late-time vortices; the paper's claim fails if more than two $(1,0)$ and two $(0,-1)$ vortices survive for long times. Alternatively, in an experiment with a strongly interacting binary superfluid, prepare a doubly charged composite vortex and observe whether any extra vortex-antivortex pair outlives the initial splitting.","supporting_citations":[{"cited_title":"Hartnoll, C.P","cited_arxiv_id":null,"evidence_quote":"Supplies the original holographic superconductor construction on which the model is based."},{"cited_title":"Holographic model of superfluidity","cited_arxiv_id":"0809.4870","evidence_quote":"Provides the holographic model of superfluidity with a black hole background giving finite temperature and dissipation."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Establishes the splitting of doubly quantized vortices in single-component holographic superfluids, the baseline for the (2,0) case."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Shows temperature-dependent splitting patterns for higher-charge holographic vortices, informing the dynamical-transition analysis."},{"cited_title":"Ishino, M","cited_arxiv_id":null,"evidence_quote":"Gives GPE results for counter-rotating vortices in miscible two-component BECs, one of the weakly interacting contrasts."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Provides the GPE prediction of additional vortex generation during splitting, which the holographic result contradicts."},{"cited_title":"Kuopanportti, S","cited_arxiv_id":null,"evidence_quote":"Computes the GPE splitting of singly and doubly quantized composite vortices, the direct comparison baseline for the winding-number pairs studied here."},{"cited_title":"(In)stability of symbiotic vortex-bright soliton in holographic immiscible binary superfluids","cited_arxiv_id":"2409.08310","evidence_quote":"Supplies the numerical method and the previously studied immiscible vortex-bright soliton case that this work extends to miscible fluids."}],"review_version":1}