Nonequilibrium critical scaling from quantum thermodynamics

Abstract

The emerging field of quantum thermodynamics is contributing important results and insights into archetypal many-body problems, including quantum phase transitions. Still, the question whether out-of-equilibrium quantities, such as fluctuations of work, exhibit critical scaling after a sudden quench in a closed system has remained elusive. Here, we take a novel approach to the problem by studying a quench across an impurity quantum critical point. By performing density matrix renormalization group computations on the two-impurity Kondo model, we are able to establish that the irreversible work produced in a quench exhibits finite-size scaling at quantum criticality. This scaling faithfully predicts the equilibrium critical exponents for the crossover length and the order parameter of the model, and, moreover, implies a new exponent for the rescaled irreversible work. By connecting the irreversible work to the two-impurity spin correlation function, our findings can be tested experimentally.

6 pages, 4 figures

References in corpus (19)

• Quantum many-body systems out of equilibrium
• Fluctuation theorems: Work is not an observable
• Single ion heat engine with maximum efficiency at maximum power
• Experimental realization of a Szilard engine with a single electron
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Work measurement as a generalized quantum measurement
• Irreversible work and inner friction in quantum thermodynamic processes
• Quantum criticality in a double quantum-dot system
• Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
• An order parameter for impurity systems at quantum criticality
• Exploring the phase diagram of the two-impurity Kondo problem
• Universal low-temperature crossover in two-channel Kondo models
• Measuring work and heat in ultracold quantum gases
• Density Matrix Renormalization Group for Dummies
• Tunable Kondo physics in a carbon nanotube double quantum dot
• Natural Orbitals Renormalization Group Approach to the Two-Impurity Kondo Critical Point
• Work statistics, irreversible heat and correlations build-up in joining two spin chains
• Fate of the Kondo Effect and Impurity Quantum Phase Transitions Through the Lens of Fidelity Susceptibility

Cited by in corpus (24)

• Quench dynamics and zero-energy modes: the case of the Creutz model
• Coherent and dissipative dynamics at quantum phase transitions
• Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
• Optimal Probes for Global Quantum Thermometry
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Thermometry of Strongly Correlated Fermionic Quantum Systems using Impurity Probes
• Quantum Critical Scaling under Periodic Driving
• Loschmidt Amplitude and Work Distribution in Quenches of the Sine-Gordon Model
• Scaling properties of work fluctuations after quenches at quantum transitions
• Quantum coherence and criticality in irreversible work
• DFT-inspired methods for quantum thermodynamics
• Effects of the Dzyaloshinsky-Moriya interaction on nonequilibrium thermodynamics in the $XY$ chain in a transverse field
• Contributions from populations and coherences in non-equilibrium entropy production
• Many-body effects on the thermodynamics of closed quantum systems
• Non-equilibrium quantum thermodynamics in Coulomb crystals
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
• Irreversible Work versus Fidelity Susceptibility for infinitesimal quenches
• Universal scaling of a classical impurity in the quantum Ising chain
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
• The role of quantum work statistics in many-body physics
• Critical slowing down and entanglement protection
• Work statistics and Entanglement across the fermionic superfluid-insulator transition
• Approximating quantum thermodynamic properties using DFT
• Quantum information scrambling in adiabatically-driven critical systems