Scaling properties of work fluctuations after quenches at quantum transitions

Abstract

We study the scaling properties of the statistics of the work done on a generic many-body system at a quantum phase transition of any order and type, arising from quenches of a driving control parameter. For this purpose we exploit a dynamic finite-size scaling framework. Namely, we put forward the existence of a nontrivial finite-size scaling limit for the work distribution, defined as the large-size limit when appropriate scaling variables are kept fixed. The corresponding scaling behaviors are thoroughly verified by means of analytical and numerical calculations in two paradigmatic many-body systems as the quantum Ising model and the Bose-Hubbard model.

arXiv comment30 pages, 6 figures. Revised version

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• Coherent and dissipative dynamics at quantum phase transitions
• Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling
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• Kibble-Zurek mechanism in the Ising Field Theory
• Quantum coherence and criticality in irreversible work
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Quantum critical systems with dissipative boundaries
• Dynamics after quenches in one-dimensional quantum Ising-like systems
• Scaling behavior of the stationary states arising from dissipation at continuous quantum transitions
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• Contributions from populations and coherences in non-equilibrium entropy production
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Functional field integral approach to quantum work
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
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• Thermal-bath effects in quantum quenches within quantum critical regimes
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models