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Many-Body Open Quantum Systems
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These Lecture Notes discuss the recent theoretical advances in the understanding of open quantum many-body physics in platforms where both dissipative and coherent processes can be tuned and controlled to a high degree. We start by reviewing the theoretical frameworks and methods used to describe and tackle open quantum many-body systems. We then discuss the use of dissipative processes to engineer many-body stationary states with desired properties and the emergence of dissipative phase transitions arising out of the competition between coherent evolution and dissipation. We review the dynamics of open quantum many body systems in the presence of correlated many-body dissipative processes, such as heating and many-body losses. Finally we provide a different perspective on open quantum many-body systems by looking at stochastic quantum trajectories, relevant for the case in which the environment represents a monitoring device, and the associated measurement-induced phase transitions.
Forward citations
Cited by 10 Pith papers
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Dissipative Kondo physics in the Anderson Impurity Model with two-body losses
Two-body losses in an Anderson impurity preserve Kondo correlations at weak and strong dissipation while destroying them at intermediate rates.
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Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field
For a non-Hermitian Ising chain, the Krylov spread detects three dynamical phases in the gapped-spectrum region and is analytically related to the spin-spin correlation function.
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Collective Coherent Perfect Absorption in a Synthetic Photon-Phonon Lattice
Two-tone driving of an optomechanical cavity produces collective interference that yields coherent perfect absorption at high cooperativity, compatible with ground-state cooling of the mechanical mode.
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Controlling Waiting Time Statistics in Monitored Collective Spins: Mitigating Detector's Resolution Barrier in Measurement-Induced Phase Transitions
Rotating two collective spin subsystems by angle heta lengthens quantum-jump waiting times (finite and N-independent at heta= heta=π), mitigating detector resolution at the cost of longer entanglement saturation times.
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Heating Dynamics of Correlated Fermions under Dephasing
Interacting fermions with local dephasing, solved via DMFT and a quantum Boltzmann equation, heat to infinite temperature with a prethermal plateau at weak dephasing, and the unitary thermalization front is destroyed ...
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Dynamical Phase Transition of Dissipative Fermionic Superfluids
In the BCS limit, one-body or two-body loss drives a universal dynamical phase transition at a finite critical time, where the order parameter vanishes non-analytically and the superfluid fraction loses superfluidity ...
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Dissipative phase transition of interacting non-reciprocal fermions
Interactions turn a critical non-reciprocal fermionic chain into a gapped dissipative phase, with volume-law trajectory entanglement despite skin-effect-like charge localization.
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Dynamics of the Bose-Hubbard Model Induced by On-Site or Long-Range Two-Body Losses
Dissipative two-body losses in a weakly interacting Bose-Hubbard chain produce an interaction-dependent power-law decay of the density, a feature absent on the 2D square lattice.
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Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
In monitored quantum-state-diffusion dynamics of XX, XXZ-staggered and SYK models, the steady-state nonstabilizerness is fit by a generalized Lorentzian and grows linearly with system size with no measurement-induced ...
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Kondo breakdown induced by non-Hermitian complex hybridization
Complex hybridization in a non-Hermitian Anderson impurity model drives Kondo breakdown at Im(1/Δ) = −1/E_d, with Bethe-ansatz support and a failure of the Lehmann representation.
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