{"id":"18c1ac7d-4ea3-49aa-b4b8-11c94272fb3e","arxiv_id":"2605.30746","paper_version":2,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":6.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"The superconductor-metal transition for 1D bosons with Ohmic dissipation belongs to the Wilson-Fisher universality class with z≈2; the metal phase consists of weakly coupled dissipative boson puddles whose size is set by phase-slip length.","lead":"This paper examines the phase diagram of one-dimensional interacting bosons on a lattice coupled to Ohmic dissipation from a nearby normal-metal electrode. It identifies a dissipative superconductor phase and a dissipative Mott insulator phase, deriving a time-dependent Ginzburg-Landau description of their transition from a microscopic puddle model.","discovery_kind":"first_principles","skeptic_critique":{"model":"grok-4.3","headline":"Puddle mapping and derivation of TDGL may admit extra relevant operators from microscopic dissipation","rationale":"The reader's weakest_assumption exactly isolates the step whose validity controls the universality-class claim. Because the full text was not reviewed by the reader, the present analysis confirms that this remains the single most load-bearing assumption; no stronger internal inconsistency is visible from the abstract alone. The verdict therefore stays UNVERDICTED pending detailed verification of the mapping.","tokens_in":1913,"tokens_out":373,"duration_ms":11894,"concrete_test":"Starting from the microscopic Hamiltonian (Eq. 1 or equivalent in the full text), perform the puddle construction explicitly for a finite number of sites, integrate out intra-puddle modes to obtain the effective inter-puddle action, and verify that the only relevant operators are the standard WF quartic and the z=2 dissipative term; if an extra relevant operator (e.g., a modified dissipation kernel or lattice-induced term) appears at the same scaling dimension, recompute the RG flow.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The claim that the D-Mott/D-BEC transition belongs to the Wilson-Fisher class with z≈2 rests on mapping the commensurate lattice to an array of dissipative puddles (size set by phase-slip length) whose effective theory is the dissipative TDGL of Sachdev et al. This step must produce precisely the WF fixed point with no additional relevant operators generated by the Ohmic bath or the underlying lattice. The abstract states this is obtained by 'combination of analytical techniques' plus bosonization/pseudospin mapping, but the security of the puddle construction and the completeness of the operator content in the resulting effective theory is the least-secured link; any missed relevant term would alter the universality class or the z value.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript examines the phase diagram of 1D interacting bosons on a lattice with onsite Ohmic phase dissipation from coupling to a diffusive normal-metal electrode. Starting from commensurate filling, it employs bosonization, pseudospin mapping, and perturbation theory to identify a dissipative Mott insulator (D-Mott) phase, modeled as weakly coupled dissipative boson puddles, and a dissipative BEC (D-BEC) superconductor phase. The puddle construction is used to derive the dissipative TDGL theory, placing the D-Mott/D-BEC transition in the Wilson-Fisher universality class with z≈2. At small doping the D-Mott phase remains stable due to finite compressibility; at larger doping the D-BEC phase is stable for arbitrarily small dissipation.","tokens_in":2085,"tokens_out":390,"duration_ms":14510,"significance":"If the puddle mapping is free of additional relevant operators, the work supplies a microscopic derivation of the dissipative TDGL theory and assigns a specific universality class (Wilson-Fisher with z≈2) to the superconductor-metal transition in quasi-1D bosonic systems, which would be a useful benchmark for dissipative quantum phase transitions.","major_comments":[{"comment":"The central assignment of the D-Mott/D-BEC transition to the Wilson-Fisher class with z≈2 rests on the mapping of the commensurate lattice to an array of dissipative boson puddles (size set by phase-slip length) whose effective theory is the dissipative TDGL of Sachdev et al. (abstract). The manuscript must explicitly demonstrate that the Ohmic bath and lattice do not generate additional relevant operators beyond those in the target TDGL; without this operator-content check the universality-class claim is not secured.","section":"Abstract (puddle-picture paragraph) and the derivation of the TDGL theory"}],"minor_comments":[],"recommendation":"major_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the careful reading and the constructive comment on the universality-class assignment. We respond point-by-point below.","responses":[{"response":"We agree that an explicit operator-content check is required to fully secure the universality-class claim. The puddle construction follows from the bosonization analysis combined with the phase-slip length scale that emerges at commensurate filling; the inter-puddle Josephson coupling together with the local Ohmic dissipation then maps onto the dissipative TDGL. In the revised manuscript we will add a dedicated paragraph (or short appendix) that enumerates the leading operators allowed by the underlying symmetries and the Ohmic bath. Using the scaling dimensions obtained from the dissipative Luttinger-liquid description, we will show that all additional operators generated by the bath or the lattice are irrelevant at the Wilson-Fisher fixed point with z≈2. This explicit check will be included in the next version.","revision_made":"yes","referee_comment":"[Abstract (puddle-picture paragraph) and the derivation of the TDGL theory] The central assignment of the D-Mott/D-BEC transition to the Wilson-Fisher class with z≈2 rests on the mapping of the commensurate lattice to an array of dissipative boson puddles (size set by phase-slip length) whose effective theory is the dissipative TDGL of Sachdev et al. (abstract). The manuscript must explicitly demonstrate that the Ohmic bath and lattice do not generate additional relevant operators beyond those in the target TDGL; without this operator-content check the universality-class claim is not secured."}],"tokens_in":1543,"tokens_out":336,"duration_ms":17702,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"This paper starts from a 1D lattice of interacting bosons with onsite Ohmic phase dissipation and maps the commensurate case to an array of dissipative puddles whose size is set by the phase-slip length. From that microscopic picture it derives the dissipative time-dependent Ginzburg-Landau theory that Sachdev, Werner, and Troyer had written down phenomenologically, and places the D-Mott to D-BEC transition in the Wilson-Fisher class with z approximately 2. At larger doping a pseudospin-chain plus bosonization argument shows the superconducting phase is stable for arbitrarily small but nonzero dissipation.\n\nThe derivation supplies a concrete lattice starting point for the earlier effective theory and gives a phase diagram that includes both the metal-like phase at low doping and the superconductor at higher doping. The steps are internally consistent and use standard tools (bosonization, perturbation in dissipation strength, pseudospin mapping) without obvious circularity.\n\nThe soft spot is the puddle construction itself. The claim that this effective theory contains precisely the operators of the target dissipative TDGL model, with no additional relevant terms generated by the bath or the lattice, is stated as following from the analytical techniques, but the security of that step is not obvious from the abstract alone. If the mapping misses a relevant operator the universality class or the dynamical exponent could shift. The stress-test concern on this point is reasonable and would be the main item to check in a review.\n\nThe work is aimed at theorists working on dissipative 1D bosons, Josephson arrays, or cold-atom simulators. A reader who wants a microscopic route to the phenomenological theory will find the connection useful. It deserves peer review because the topic is relevant to experiment and the derivation, if the operator content holds up, fills a gap between lattice models and the effective theory.","headline":"Derives dissipative TDGL from 1D boson puddles with a controlled mapping but the universality assignment rests on the completeness of the operator content after the puddle construction.","tokens_in":2590,"tokens_out":444,"would_cite":false,"duration_ms":17692,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"Interacting bosons with Ohmic dissipation undergo a superconductor-metal transition in the Wilson-Fisher class with dynamical exponent z approximately 2","keywords":["one-dimensional bosons","Ohmic quantum dissipation","superconductor-metal transition","Wilson-Fisher universality class","dissipative Mott insulator","phase diagram","bosonization"],"falsifier":"Measuring dynamical critical exponent z significantly different from 2 or correlation functions not matching Wilson-Fisher predictions at the D-Mott to D-BEC transition.","tokens_in":2809,"feed_emoji":"","tokens_out":652,"duration_ms":18995,"temperature":0.7,"pith_summary":"The paper examines a one-dimensional lattice of interacting bosons subject to onsite phase dissipation modeling coupling to a diffusive normal metal. It identifies two phases at commensurate filling: a dissipative Mott insulator with exponentially decaying phase correlations and a dissipative Bose-Einstein condensate with long-range order. By modeling the Mott phase as an array of dissipative boson puddles and deriving the time-dependent Ginzburg-Landau theory, the transition is shown to belong to the Wilson-Fisher universality class with dynamical exponent z approximately 2. At larger doping, a pseudospin chain mapping combined with bosonization establishes the superconducting phase as stable even for arbitrarily small dissipation.","feed_headline":"1D boson transition falls in Wilson-Fisher class with z~2","feed_subtitle":"Puddle array derivation yields dissipative TDGL theory placing the superconductor-metal transition in Wilson-Fisher class with z≈2; supercon","key_machinery":"The dissipative time-dependent Ginzburg-Landau theory derived from the array of dissipative boson puddles whose size is set by the phase-slip length.","core_discovery":"The D-Mott to D-BEC transition criticality belongs to the Wilson-Fisher universality class with dynamical exponent z≈2, obtained by deriving the dissipative TDGL theory from the microscopic picture of weakly coupled dissipative boson puddles. At larger doping the D-BEC phase is the ground state for non-vanishing but arbitrarily small dissipation.","pith_inferences":["The puddle model provides a microscopic justification for phenomenological descriptions of superconductor-metal transitions in quasi-1D wires.","This framework could be extended to study effects of disorder or different dissipation spectra in bosonic systems.","Experimental realization might involve Josephson junction chains coupled to normal metals to test the predicted critical behavior."],"forward_implications":["The D-Mott phase is stable at small doping due to its finite compressibility computed to leading order in perturbation theory.","The D-BEC phase prevails at larger doping for arbitrarily small dissipation via pseudospin mapping.","The approach shares similarities with deconfinement transitions in arrays of 1D bosonic Mott insulators."],"fun_headline_variants":["1D bosons enter Wilson-Fisher class at z~2 via puddles","Dissipation maps superconductor-metal to Wilson-Fisher z≈2","Weakly coupled boson puddles show z~2 Wilson-Fisher criticality","1D interacting bosons hit Wilson-Fisher z~2 at metal transition"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"That the commensurate system maps to an array of dissipative boson puddles with size given by the phase-slip length, and that bosonization plus pseudospin mapping produces the Wilson-Fisher fixed point without extra relevant operators.","fun_headline_variants_meta":{"raw":{"variants":["1D bosons enter Wilson-Fisher class at z~2 via puddles","Dissipation maps superconductor-metal to Wilson-Fisher z≈2","Weakly coupled boson puddles show z~2 Wilson-Fisher criticality","1D interacting bosons hit Wilson-Fisher z~2 at metal transition"]},"model":"grok-4.3","cost_usd":0.006504,"raw_usage":{"total_tokens":3110,"prompt_tokens":802,"num_sources_used":0,"completion_tokens":77,"cost_in_usd_ticks":65037000,"prompt_tokens_details":{"text_tokens":802,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":2231,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":802,"tokens_out":77,"duration_ms":16141,"temperature":1.0,"reasoning_tokens":2231,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-28T21:37:29.003180+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"Measuring dynamical critical exponent z significantly different from 2 or correlation functions not matching Wilson-Fisher predictions at the D-Mott to D-BEC transition.","supporting_citations":[],"review_version":1}