Universal scaling of work statistics for quantum quenches
arXiv:2012.15501 · doi:10.1103/PhysRevB.103.144204
Abstract
In this paper, we systematically study the work statistics for quantum phase transition. For a quantum system approached by an anisotropic conformal field theory near the critical point, the driving protocols is divided into three different regimes for different quench rates, which reflects the competition between the frozen time and the quench time scale. In each regime, we find universal scaling behaviors in work statistics (after renormalization). It is shown that the critical exponents are determined by the space-time dimension , the dynamical critical exponent , the correlation-length exponent , and the power-law protocols. These universal scalings in nonequilibrium process may be found in quantum phase transition by measuring the Loschmidt echo or the Ramsey interferometry.
References in corpus (37)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Nonequilibrium dynamics of closed interacting quantum systems
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Time-dependence of correlation functions following a quantum quench
- Cosmological Experiments in Condensed Matter Systems
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Dynamics of a Quantum Phase Transition
- Fluctuation theorems: Work is not an observable
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Quantum Quenches in Extended Systems
- Fidelity approach to quantum phase transitions
- Universal adiabatic dynamics across a quantum critical point
- Quantum critical scaling of the geometric tensors
- Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Nonrelativistic conformal field theories
- Extracting quantum work statistics and fluctuation theorems by single qubit interferometry
- Nonequilibrium work distribution of a quantum harmonic oscillator
- Emergent thermodynamics in a quenched quantum many-body system
- Beyond the Quantum Adiabatic Approximation: Adiabatic Perturbation Theory
- Quantum quenches of holographic plasmas
- Thermal quenches in N=2* plasmas
- Universal scaling in fast quantum quenches in conformal field theories
- Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
- Quantum Quench Dynamics in the Transverse Field Ising Model at Non-zero Temperatures
- Universality of Abrupt Holographic Quenches
- Work distribution and edge singularities for generic time-dependent protocols in extended systems
- Universality in fast quantum quenches
- Smooth and fast versus instantaneous quenches in quantum field theory
- Work statistics across a quantum phase transition
- Quantum Quenches in Free Field Theory: Universal Scaling at Any Rate
- Group-theoretical approach to the calculation of quantum work distribution
- Kibble-Zurek mechanism in the Ising Field Theory
- An exactly solvable quench protocol for integrable spin models
- Nonequilibrium Green's function's approach to the calculation of work statistics