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Many-Body Open Quantum Systems
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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 8 Pith papers
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Classical and quantum chaotic synchronization in coupled dissipative time crystals
Coupled dissipative time crystals show chaotic synchronization with positive Lyapunov exponents and high Pearson correlations in the classical limit, plus analogous staggered-to-uniform crossovers and GUE statistics i...
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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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Parity-Time Symmetric Spin-1/2 Richardson-Gaudin Models
Constructs PT-symmetric integrable spin-1/2 Richardson-Gaudin models via complex deformations, derives the metric operator for the physical inner product, and gives exact spin dynamics in unbroken and broken PT phases.
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Controlling Waiting Time Statistics in Monitored Collective Spins: Mitigating Detector's Resolution Barrier in Measurement-Induced Phase Transitions
Partitioning monitored collective spins into subsystems rotated by θ increases jump waiting times by orders of magnitude, fully resolving detector resolution at θ=π while lengthening entanglement saturation.
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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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Dynamics of edge modes in monitored Su-Schrieffer-Heeger Models
In monitored SSH chains, spatially selective dissipation preserves edge-mode signatures in two-point correlations and disconnected entanglement entropy.
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Is Lindblad for me?
A review that contrasts common assumptions about the Lindblad equation with refined expectations drawn from examples, culminating in a checklist for assessing its breakdown.
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