Irreversible processes without energy dissipation in an isolated Lipkin-Meshkov-Glick model

Abstract

For a certain class of isolated quantum systems, we report the existence of irreversible processes in which the energy is not dissipated. After a closed cycle in which the initial energy distribution is fully recovered, the expectation value of a symmetry-breaking observable changes from a value different from zero in the initial state, to zero in the final state. This entails the unavoidable loss of a certain amount of information, and constitutes a source of irreversibility. We show that the von Neumann entropy of time-averaged equilibrium states increases in the same magnitude as a consequence of the process. We support this result by means of numerical calculations in an experimentally feasible system, the Lipkin-Meshkov-Glick model.

10 pages, 7 figures

References in corpus (13)

• Thermalization and its mechanism for generic isolated quantum systems
• Nonlinear atom interferometer surpasses classical precision limit
• The Physics of Maxwell's demon and information
• Entanglement in a second order quantum phase transition
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Work measurement as a generalized quantum measurement
• Second-law-like inequalities with information and their interpretations
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Microcanonical quantum fluctuation theorems
• Excited-state phase transition leading to symmetry-breaking steady states in the Dicke model
• Microscopic expression for the heat in the adiabatic basis
• Non-thermal quantum phase transitions

Cited by in corpus (27)

• Excited-state quantum phase transitions
• Excited-state quantum phase transitions in many-body systems with infinite-range interaction: Localization, dynamics, and bifurcation
• Excited-state quantum phase transition in the Rabi model
• Probing excited-state quantum phase transition in a quantum many body system via out-of-time-ordered correlator
• Entropy, chaos and excited-state quantum phase transitions in the Dicke model
• From thermal to excited-state quantum phase transitions ---the Dicke model
• Dynamical and excited-state quantum phase transitions in collective systems
• Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
• Theory of dynamical phase transitions in quantum systems with symmetry-breaking eigenstates
• Exponential precision by reaching a quantum critical point
• Constant of motion identifying excited-state quantum phases
• Excited-state quantum phase transition and the quantum speed limit
• Nonadiabatic dynamics of the excited states for the Lipkin-Meshkov-Glick model
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy
• Mechanism of dynamical phase transitions: The complex-time survival amplitude
• Anomalous Thermalization in Quantum Collective Models
• Ultrafast critical ground state preparation via bang-bang protocols
• Analytical and numerical analysis of the complete Lipkin-Meshkov-Glick Hamiltonian
• Heat capacity for systems with excited-state quantum phase transitions
• Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate
• Relaxation time as a control parameter for exploring dynamical phase diagrams
• General theory for discrete symmetry-breaking equilibrium states
• Symmetry conserving Coupled Cluster Doubles wave function and the Self-Consistent odd particle number RPA
• Quantum information scrambling in adiabatically-driven critical systems
• Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system
• Energy cat states induced by a parity-breaking excited-state quantum phase transition