Random matrix theory for quantum and classical metastability in local Liouvillians
arXiv:2110.13158 · doi:10.1103/PhysRevB.105.L180201
Abstract
We consider the effects of strong dissipation in quantum systems with a notion of locality, which induces a hierarchy of many-body relaxation timescales as shown in [Phys. Rev. Lett. 124, 100604 (2020)]. If the strength of the dissipation varies strongly in the system, additional separations of timescales can emerge, inducing a manifold of metastable states, to which observables relax first, before relaxing to the steady state. Our simple model, involving one or two "good" qubits with dissipation reduced by a factor compared to the other "bad" qubits, confirms this picture and admits a perturbative treatment.
arXiv comment5 pages, 3 figures plus supplementary material
References in corpus (37)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- The many-body localization phase transition
- Many-body localization edge in the random-field Heisenberg chain
- Quantum many-body scars
- Floquet Time Crystals
- Many body localization in Heisenberg XXZ magnet in a random field
- On the phase structure of driven quantum systems
- Experimental Observation of a Generalized Gibbs Ensemble
- Eigenstate Thermalization Hypothesis
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Recent progress in many-body localization
- The Ergodic Side of the Many-Body Localization Transition
- Towards a theory of metastability in open quantum dynamics
- Thermal Fluctuations in Quantized Chaotic Systems
- Anomalous thermalization in ergodic systems
- A Brief History of Time Crystals
- Universal spectra of random Lindblad operators
- Fluctuation-Induced Quantum Zeno Effect
- Quantum East model: localization, non-thermal eigenstates and slow dynamics
- Spectral gaps and mid-gap states in random quantum master equations
- Hierarchy of relaxation timescales in local random Liouvillians
- Random Lindblad Dynamics
- Metastability in an open quantum Ising model
- Spectral and Steady-State Properties of Random Liouvillians
- Theory of classical metastability in open quantum systems
- Many-body Hierarchy of Dissipative Timescales in a Quantum Computer
- Random generators of Markovian evolution: A quantum-classical transition by superdecoherence
- Random transition-rate matrices for the master equation
- Non-equilibrium metastable state in a chain of interacting spinless fermions with localized loss
Cited by in corpus (9)
- Lindbladian dissipation of strongly-correlated quantum matter
- Lindbladian dynamics of the Sachdev-Ye-Kitaev model
- Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
- Spectral and steady-state properties of fermionic random quadratic Liouvillians
- Compressed quantum error mitigation
- Many-body Liouvillian dynamics with a non-Hermitian tensor-network kernel polynomial algorithm
- Fate of dissipative hierarchy of timescales in the presence of unitary dynamics
- Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
- Separation of relaxation timescales via strong system-bath coupling: Dissipative three-level system as a case study