Speeding up Pontus-Mpemba effects via dynamical phase transitions

Abstract

We demonstrate that open quantum systems exhibiting dynamical phase transitions (DPTs) allow for efficient protocols implementing the Pontus-Mpemba effect. The relaxation speed-up toward a predesignated target state is tied to the existence of a long metastable time window preceding the DPT and can be exploited in applications to systematically optimize quantum protocols. As paradigmatic example for the connection between DPTs and quantum Mpemba effects, we study one-dimensional (1D) interacting lattice fermions corresponding to a dissipative variant of the Gross-Neveu (GN) model.

13 pages, 10 figures

References in corpus (50)

• Many-Body Physics with Ultracold Gases
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamical quantum phase transitions: a review
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Observation of universal dynamics in a spinor Bose gas far from equilibrium
• Anomalous cooling and heating - the Mpemba effect and its inverse
• When the Hotter Cools More Quickly: Mpemba Effect in Granular Fluids
• Dynamical vanishing of the order parameter in a fermionic condensate
• From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram
• Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect
• The Mpemba index and anomalous relaxation
• Mixed state dynamical quantum phase transition and emergent topology
• Microscopic origin of the quantum Mpemba effect in integrable systems
• Quantum Mpemba effect in a quantum dot with reservoirs
• Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
• Lindblad dissipative dynamics in presence of phase coexistence
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Symmetry restoration and quantum Mpemba effect in symmetric random circuits
• Entanglement asymmetry and quantum Mpemba effect in the XY spin chain
• Pre-Cooling Strategy Allows Exponentially Faster Heating
• Quantum Quench Dynamics in the Transverse Field Ising Model at Non-zero Temperatures
• Transient Dynamics of d-wave Superconductors after a Sudden Excitation
• Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids
• Dynamical quantum phase transitions: a brief survey
• Observation of quantum strong Mpemba effect
• Thermodynamics of the quantum Mpemba effect
• Multiple quantum Mpemba effect: exceptional points and oscillations
• The quantum Mpemba effects
• Mpemba effects in open nonequilibrium quantum systems
• Heating and Cooling are Fundamentally Asymmetric and Evolve Along Distinct Pathways
• Non-equilibrium quantum chains under multi-site Lindblad baths
• Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
• Non-Markovian Quantum Mpemba effect
• The metastable Mpemba effect corresponds to a non-monotonic temperature dependence of extractable work
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Symmetry restoration and quantum Mpemba effect in many-body localization systems
• From sudden quench to adiabatic dynamics in the attractive Hubbard model
• Quantum Mpemba Effects from Symmetry Perspectives
• Dynamics after quenches in one-dimensional quantum Ising-like systems
• Dissipative dynamics at first-order quantum transitions
• Pontus-Mpemba effects
• Dissipation driven dynamical topological phase transitions in two-dimensional superconductors
• Lindblad master equation approach to the dissipative quench dynamics of planar superconductors
• Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
• Subsystem distances between quasiparticle excited states
• Trace distance between fermionic Gaussian states from a truncation method

Cited by in corpus (4)

• Solution of the Metropolis dynamics on a complete graph with application to the Markov chain Mpemba effect
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• The Mpemba effect in the Descartes protocol: A time-delayed Newton's law of cooling approach
• Exponentially accelerated relaxation and quantum Mpemba effect in open quantum systems