Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench

Abstract

We study the dynamics of the relative phase of a bilayer of two-dimensional superfluids after the two superfluids have been decoupled. We find that on short time scales the relative phase shows "light cone" like dynamics and creates a metastable superfluid state, which can be supercritical. We also demonstrate similar light cone dynamics for the transverse field Ising model. On longer time scales the supercritical state relaxes to a disordered state due to dynamical vortex unbinding. This scenario of dynamically suppressed vortex proliferation constitutes a reverse-Kibble-Zurek effect. We study this effect both numerically using truncated Wigner approximation and analytically within a newly suggested time dependent renormalization group approach (RG). In particular, within RG we show that there are two possible fixed points for the real time evolution corresponding to the superfluid and normal steady states. So depending on the initial conditions and the microscopic parameters of the Hamiltonian the system undergoes a non-equilibrium phase transition of the Kosterlitz-Thouless type. The time scales for the vortex unbinding near the critical point are exponentially divergent, similar to the equilibrium case.

14 pages, 10 figures

References in corpus (29)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Thermalization and its mechanism for generic isolated quantum systems
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Breakdown of thermalization in finite one-dimensional systems
• Foundation of Statistical Mechanics under experimentally realistic conditions
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Universal adiabatic dynamics across a quantum critical point
• Quench dynamics across quantum critical points
• Strongly correlated fermions after a quantum quench
• 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''
• Effective thermal dynamics following a quantum quench in a spin chain
• Defect production in non-linear quench across a quantum critical point
• Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
• Exact results for quench dynamics and defect production in a two-dimensional model
• Topology induced anomalous defect production by crossing a quantum critical point
• Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
• Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers
• Intrinsic dephasing in one dimensional ultracold atom interferometers
• Defect production due to quenching through a multicritical point
• Many body generalization of the Landau Zener problem
• Adiabatic nonlinear probes of one-dimensional Bose gases
• Competition between Vortex Unbinding and Tunneling in an Optical Lattice

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• Non-Equilibrium Dynamics of a Noisy Quantum Ising Chain: statistics of the work and prethermalization after a sudden quench of the transverse field
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• Quantum-field-theoretical approach to phase-space techniques: Symmetric Wick theorem and multitime Wigner representation
• Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition
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