Quantum critical systems with dissipative boundaries
arXiv:2106.02539 · doi:10.1103/PhysRevB.104.075140
Abstract
We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we consider fermionic wires subject to dissipative interactions at the boundaries, associated with pumping or loss of particles. They are induced by couplings with a Markovian baths, so that the evolution of the system density matrix can be described by a Lindblad master equation. We study the quantum evolution arising from variations of the Hamiltonian and dissipation parameters, starting at t=0 from the ground state of the critical Hamiltonian. Two different dynamic regimes emerge: (i) an early-time regime for times t ~ L, where the competition between coherent and incoherent drivings develops a dynamic finite-size scaling, obtained by extending the scaling framework describing the coherent critical dynamics of the closed system, to allow for the boundary dissipation; (ii) a large-time regime for t ~ L^3 whose dynamic scaling describes the late quantum evolution leading to the t->infty stationary states.
13 pages
References in corpus (12)
- Quantum fluids of light
- Universal adiabatic dynamics across a quantum critical point
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Quantum phase transition in a far from equilibrium steady state of XY spin chain
- Dissipative Dynamics and Phase Transitions in Fermionic Systems
- Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
- Loschmidt Echo Revivals: Critical and Noncritical
- Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
- Finite-size scaling at first-order quantum transitions
- Non-equilibrium metastable state in a chain of interacting spinless fermions with localized loss
- Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
- Scaling of decoherence and energy flow in interacting quantum spin systems