From sudden quench to adiabatic dynamics in the attractive Hubbard model

Abstract

We study the crossover between the sudden quench limit and the adiabatic dynamics of superconducting states in the attractive Hubbard model. We focus on the dynamics induced by the change of the attractive interaction during a finite ramp time which is varied in order to track the evolution of the dynamical phase diagram from the sudden quench to the equilibrium limit. Two different dynamical regimes are realized for quenches towards weak and strong coupling interactions. At weak coupling the dynamics depends only on the energy injected into the system, whereas a dynamics retaining memory of the initial state takes place at strong coupling. We show that this is related to a sharp transition between a weak and a strong coupling quench dynamical regime, which defines the boundaries beyond which a dynamics independent from the initial state is recovered. Comparing the dynamics in the superconducting and non-superconducting phases we argue that this is due to the lack of an adiabatic connection to the equilibrium ground state for non-equilibrium superconducting states in the strong coupling quench regime.

arXiv comment10 pages, 5 figures

References in corpus (41)

• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• Nonequilibrium dynamics of closed interacting quantum systems
• Quantum thermalization through entanglement in an isolated many-body system
• Relaxation and Pre-thermalization in an Isolated Quantum System
• Dynamics of a Quantum Phase Transition
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Nonequilibrium dynamical mean-field theory and its applications
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Universal adiabatic dynamics across a quantum critical point
• Prethermalization
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Local emergence of thermal correlations in an isolated quantum many-body system
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Short-range quantum magnetism of ultracold fermions in an optical lattice
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Dynamical vanishing of the order parameter in a fermionic condensate
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
• Pairing and Superconductivity from weak to strong coupling in the Attractive Hubbard model
• Quantum quenches as classical critical films
• Theory of Laser-Controlled Competing Superconducting and Charge Orders
• First-Order Pairing Transition and Single-Particle Spectral Function in the Attractive Hubbard Model
• Nonthermal symmetry broken states in the strongly interacting Hubbard model
• Time-dependent Gutzwiller approximation for the Hubbard model
• Transient Dynamics of d-wave Superconductors after a Sudden Excitation
• Non-equilibrium superconductivity in driven alkali-doped fullerides
• Eigenstate Thermalization in Systems with Spontaneously Broken Symmetry
• Linear Ramps of Interaction in the Fermionic Hubbard Model
• Non-thermal melting of Neel order in the Hubbard model
• Dynamical quantum phase transitions and broken-symmetry edges in the many-body eigenvalue spectrum
• Non-equilibrium dynamics in the antiferromagnetic Hubbard model
• Dynamics following a linear ramps in the $O(N)$ model: dynamical transition and statistics of excitations
• Nonequilibrium self-energy functional approach to the dynamical Mott transition
• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• Nonadiabatic stationary behaviour in a driven low-dimensional gapped system

Cited by in corpus (16)

• Comparing the generalized Kadanoff-Baym ansatz with the full Kadanoff-Baym equations for an excitonic insulator out of equilibrium
• Truncating the memory time in nonequilibrium DMFT calculations
• Transient Floquet engineering of superconductivity
• Photo-induced nonequilibrium states in Mott insulators
• Fate of dynamical phases of a BCS superconductor beyond the dissipationless regimen
• Adiabatic Preparation of a Correlated Symmetry-Broken Initial State with the Generalized Kadanoff--Baym Ansatz
• Dissipation driven dynamical topological phase transitions in two-dimensional superconductors
• Lindblad master equation approach to the dissipative quench dynamics of planar superconductors
• Non-equilibrium dynamics across the BEC-BCS crossover
• Nonthermal switching of charge order: dynamical slowing down and optimal control
• Engineering Higgs dynamics by spectral singularities
• Floquet-engineered light-cone spreading of correlations in a driven quantum chain
• Time-dependent ghost-Gutzwiller non-equilibrium dynamics
• Nonequilibrium dynamics of superconductivity in the attractive Hubbard model
• Speeding up Pontus-Mpemba effects via dynamical phase transitions
• Adiabatic transition from a BCS superconductor to a Fermi liquid and phase dynamics