Scaling behavior of the stationary states arising from dissipation at continuous quantum transitions

Abstract

We study the critical behavior of the nonequilibrium dynamics and of the steady states emerging from the competition between coherent and dissipative dynamics close to quantum phase transitions. The latter is induced by the coupling of the system with a Markovian bath, such that the evolution of the system's density matrix can be effectively described by a Lindblad master equation. We devise general scaling behaviors for the out-of-equilibrium evolution and the stationary states emerging in the large-time limit for generic initial conditions, in terms of the parameters of the Hamiltonian providing the coherent driving and those associated with the dissipative interactions with the environment. Our framework is supported by numerical results for the dynamics of a one-dimensional lattice fermion gas undergoing a quantum Ising transition, in the presence of dissipative mechanisms which include local pumping and decay of particles.

arXiv comment9 pages, 7 figures. Published version. arXiv admin note: text overlap with arXiv:1905.03843

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Cited by in corpus (17)

• Measurement-induced dynamics of many-body systems at quantum criticality
• Spreading of correlations in Markovian open quantum systems
• Coherent and dissipative dynamics at quantum phase transitions
• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
• Universal anti-Kibble-Zurek scaling in fully-connected systems
• Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
• Quantum critical systems with dissipative boundaries
• Dynamics after quenches in one-dimensional quantum Ising-like systems
• Dissipative dynamics at first-order quantum transitions
• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
• Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
• Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models