Loschmidt Echo of Far-From-Equilibrium Fermionic Superfluids
arXiv:2103.03754 · doi:10.1016/j.aop.2021.168554
Abstract
Non-analyticities in the logarithm of the Loschmidt echo, known as dynamical quantum phase transitions [DQPTs], are a recently introduced attempt to classify the myriad of possible phenomena which can occur in far from equilibrium closed quantum systems. In this work, we analytically investigate the Loschmidt echo in nonequilibrium -wave and topological fermionic superfluids. We find that the presence of non-analyticities in the echo is not invariant under global rotations of the superfluid phase. We remedy this deficiency by introducing a more general notion of a grand canonical Loschmidt echo. Overall, our study shows that DQPTs are not a good indicator for the long time dynamics of an interacting system. In particular, there are no DQPTs to tell apart distinct dynamical phases of quenched BCS superconductors. Nevertheless, they can signal a quench induced change in the topology and also keep track of solitons emerging from unstable stationary states of a BCS superconductor.
arXiv comment24 pages, 12 figures
References in corpus (57)
- Nonequilibrium dynamics of closed interacting quantum systems
- Time-dependence of correlation functions following a quantum quench
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Dynamical quantum phase transitions: a review
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Quantum quenches in 1+1 dimensional conformal field theories
- Resonantly-paired fermionic superfluids
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
- Dynamical Topological Order Parameters far from Equilibrium
- Dynamical phase transitions after quenches in non-integrable models
- Dynamical quantum phase transitions: scaling and universality
- Quantum quench dynamics
- Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
- Topological classification of dynamical phase transitions
- Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
- The Quench Action
- Dynamical quantum phase transitions in random spin chains
- Dynamical vanishing of the order parameter in a fermionic condensate
- First order dynamical phase transitions
- Quantum quench dynamics of the sine-Gordon model in some solvable limits
- Mixed state dynamical quantum phase transition and emergent topology
- Dynamical Topological Quantum Phase Transitions for Mixed States
- Solution for the dynamics of the BCS and central spin problems
- Quenches and dynamical phase transitions in a non-integrable quantum Ising model
- Dynamical Quantum Phase Transitions: A Geometric Picture
- Quantum quenches from integrability: the fermionic pairing model
- Quantum quench in a p + i p superfluid: Winding numbers and topological states far from equilibrium
- Quantum quench phase diagrams of an s-wave BCS-BEC condensate
- Quench dynamics and zero-energy modes: the case of the Creutz model
- Large N limit of the exactly solvable BCS model: analytics versus numerics
- Nonequilibrium dynamics of weakly and strongly paired superconductors
- Quench-induced Floquet topological p-wave superfluids
- Dynamical free energy and the Loschmidt-echo for a class of quantum quenches in the Heisenberg spin chain
- Dynamical Quantum Phase Transition and Quasi Particle Excitation
- From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in Heisenberg spin chains
- Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
- Non-analytic behavior of the Loschmidt echo in XXZ spin chains: exact results
- Twisting Anderson pseudospins with light: Quench dynamics in THz-pumped BCS superconductors
- Integrable dynamics of coupled Fermi-Bose condensates
- Exact solution of the p+ip pairing Hamiltonian and a hierarchy of integrable models
- Finite Size Corrections for the Pairing Hamiltonian
- Normal and anomalous solitons in the theory of dynamical Cooper pairing
- Cooper pair turbulence in atomic Fermi gases
- Quench action and large deviations: work statistics in the one-dimensional Bose gas
- Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
- Controlling Dynamical Quantum Phase Transitions
- Spectroscopic signatures of nonequilibrium pairing in atomic Fermi gases
- Boundaries and unphysical fixed points in Dynamical Quantum Phase Transitions
- Loschmidt Amplitude and Work Distribution in Quenches of the Sine-Gordon Model
- Dynamical quantum phase transitions in the random field Ising model
- Constructing effective free energies for dynamical quantum phase transitions in the transverse-field Ising chain
- Consequences of integrability breaking in quench dynamics of pairing Hamiltonians
- Non-equilibrium aspects of integrable models
- Quantum Work of an Optical Lattice
- Dynamics of emergent Cooper pairing at finite temperatures
- Excitation of the dissipationless Higgs mode in a fermionic condensate
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