Driven quantum coarsening

Abstract

We study the driven dynamics of quantum coarsening. We analyze models of M-component rotors coupled to two electronic reservoirs at different chemical potentials that generate a current threading through the system. In the large M limit we derive the dynamical phase diagram as a function of temperature, strength of quantum fluctuations, voltage and coupling to the leads. We show that the slow relaxation in the ordering phase is universal. On large time and length scales the dynamics are analogous to stochastic classical ones, even for the quantum system driven out of equilibrium at zero temperature. We argue that our results apply to generic driven quantum coarsening.

4 pages, 3 figures

References in corpus (23)

• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• Two-time scales, two-temperature scenario for nonlinear rheology
• Nonequilibrium quantum criticality in open electronic systems
• Full dynamical solution for a spherical spin-glass model
• A Solvable Spin-Glass of Quantum Rotors
• Glassy behaviour in disordered systems with non-relaxational dynamics
• Real-time non-equilibrium dynamics of quantum glassy systems
• Quantum aging in mean-field models
• The Memory Effect in Electron Glasses
• Dissipative effects on quantum glassy systems
• A Crash Course on Aging
• Non-Equilibrium Quantum Dissipation
• Current driven quantum criticality in itinerant electron ferromagnets
• Effective temperature and Gilbert damping of a current-driven localized spin
• Out of equilibrium dynamics of a Quantum Heisenberg Spin Glass
• Time reparametrization group and the long time behaviour in quantum glassy systems
• Nonequilibrium quantum phase transition in itinerant electron systems
• Nonlinear Transport Near a Quantum Phase Transition in Two Dimensions
• A quench-cooling procedure compared with the gate-protocol for aging experiments in the Electron-Glass
• Effective temperature of a dissipative driven mesoscopic system
• Universal non-linear conductivity near to an itinerant-electron ferromagnetic quantum critical point
• A Dynamical Study of the Quantum p=2 Spherical Model
• Metal-insulator transition and glassy behavior in two-dimensional electron systems

Cited by in corpus (10)

• The effective temperature
• Local and Effective Temperatures of Quantum Driven Systems
• Local Temperatures and Heat Flow in Quantum Driven Systems
• Out of equilibrium dynamics of classical and quantum complex systems
• Defining the effective temperature of a quantum driven system from current-current correlation functions
• Quantum dynamics far from equilibrium: a case study in the spherical model
• Coarsening of Disordered Quantum Rotors under a Bias Voltage
• Current driven defect unbinding transition in an XY ferromagnet
• Domain coarsening in fractonic systems: a cascade of critical exponents
• Non-equilibrium dynamics of the open quantum $O(n)$-model with non-Markovian noise: exact results