Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid

Abstract

In this work we revisit collapse and revival oscillations in superfluids suddenly quenched by strong local interactions for the case of a one-dimensional Bose-Hubbard model. As the main result we identify the inherent nonequilibrium quantum many-body character of these oscillations by revealing that they are controlled by a sequence of underlying dynamical quantum phase transitions in the real-time evolution after the quench, which manifest as temporal nonanalyticities in return probabilities or Loschmidt echos. Specifically, we find that the time scale of the collapse and revival oscillations is, firstly, set by the frequency at which dynamical quantum phase transitions appear, and is, secondly, of emergent nonequilibrium nature, since it is not only determined by the final Hamiltonian but also depends on the initial condition.

5 pages, 4 figures

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Cited by in corpus (26)

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• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Loschmidt amplitude spectrum in dynamical quantum phase transitions
• The phases of the disordered Bose-Hubbard model with attractive interactions
• Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
• Loschmidt Echo of Far-From-Equilibrium Fermionic Superfluids
• Quantum spin fluctuations in dynamical quantum phase transitions
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Dynamical phase transition in the 1D-transverse field Ising chain characterized by the transverse magnetization spectral function
• Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
• Hubbard physics with Rydberg atoms: using a quantum spin simulator to simulate strong fermionic correlations
• Parameterized Hamiltonian simulation using quantum optimal control
• Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
• Dynamical quantum phase transitions from quantum optics perspective
• Statistical complexity and the road to equilibrium in many-body chaotic quantum systems
• Fractonic Quantum Quench in Dipole-constrained Bosons
• Sudden quench of harmonically trapped mass-imbalanced fermions
• Correlation dynamics of dipolar bosons in 1D triple well optical lattice
• Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit
• Loschmidt echo and Momentum Distribution in a Kitaev Spin Chain
• Dynamical Phase Transitions, Caustics, and Quantum Dark Bands
• Dynamical quantum phase transitions on random networks
• Dynamical quantum phase transitions in strongly correlated two-dimensional spin lattices following a quench