Out-of-equilibrium dynamics driven by localized time-dependent perturbations at quantum phase transitions

Abstract

We investigate the quantum dynamics of many-body systems subject to local, i.e. restricted to a limited space region, time-dependent perturbations. If the perturbation drives the system across a quantum transition, an off-equilibrium behavior is observed, even when the perturbation is very slow. We show that, close to the transition, time-dependent quantities obey scaling laws. In first-order quantum transitions, the scaling behavior is universal, and some scaling functions can be exactly computed. For continuous quantum transitions, the scaling laws are controlled by the standard critical exponents and by the renormalization-group dimension of the perturbation at the transition. Our scaling approach is applied to the quantum Ising ring which presents both first-order and continuous quantum transitions.

10 pages, 4 figs

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Cited by in corpus (25)

• Measurement-induced dynamics of many-body systems at quantum criticality
• Coherent and dissipative dynamics at quantum phase transitions
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• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
• Dynamic finite-size scaling after a quench at quantum transitions
• Ground-state fidelity at first-order quantum transitions
• Scaling properties of work fluctuations after quenches at quantum transitions
• Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
• Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases
• Quantum critical systems with dissipative boundaries
• Dynamics of first-order quantum phase transitions in extended Bose-Hubbard model: From density wave to superfluid and vice-versa
• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
• Contributions from populations and coherences in non-equilibrium entropy production
• Decoherence dynamics of qubits coupled to systems at quantum transitions
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Anomalous finite-size scaling at thermal first-order transitions in systems with disordered boundary conditions
• Out-of-equilibrium finite-size scaling in generalized Kibble-Zurek protocols crossing quantum phase transitions in the presence of symmetry-breaking perturbations
• Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Critical crossover phenomena driven by symmetry-breaking defects at quantum transitions
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• The quantum XY chain with boundary fields: finite-size gap and phase behavior
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Quantum many-body spin rings coupled to ancillary spins: The sunburst quantum Ising model
• Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional $q$-state Potts models