Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
arXiv:1612.05084 · doi:10.1103/PhysRevB.95.104306
Abstract
The ground state of the one-dimensional Bose-Hubbard model at unit filling undergoes the Mott-superfluid quantum phase transition. It belongs to the Kosterlitz-Thouless universality class with an exponential divergence of the correlation length in place of the usual power law. We present numerical simulations of a linear quench both from the Mott insulator to superfluid and back. The results satisfy the scaling hypothesis that follows from the Kibble-Zurek mechanism (KZM). In the superfluid-to-Mott quenches there is no significant excitation in the superfluid phase despite its gaplessness. Since all critical superfluid ground states are qualitatively similar, the excitation begins to build up only after crossing the critical point when the ground state begins to change fundamentally. The last process falls into the KZM framework.
To appear in PRB
References in corpus (26)
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Universal adiabatic dynamics across a quantum critical point
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Emergence of coherence in a uniform quasi-two-dimensional Bose gas
- Quench-induced supercurrents in an annular Bose gas
- Emergence of coherence and the dynamics of quantum phase transitions
- Exact results for quench dynamics and defect production in a two-dimensional model
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics
- Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
- Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
- Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate
- Quantum thermodynamics of general quantum processes
- Defect formation beyond Kibble-Zurek mechanism and holography
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
- Quench dynamics and defect production in the Kitaev and extended Kitaev models
- Quenching along a gapless line: A different exponent for defect density
- Spontaneous nucleation of structural defects in inhomogeneous ion chains
- Defect production due to quenching through a multicritical point
- Exploring the Kibble-Zurek mechanism with homogeneous Bose gases
- Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
- Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
- Cooling dynamics of pure and random Ising chains
- Breaking symmetry, breaking ground
Cited by in corpus (20)
- Kibble-Zurek scaling of the irreversible entropy production
- Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
- Kibble-Zurek mechanism in the Ising Field Theory
- Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
- Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
- Scaling Theories of Kosterlitz-Thouless Phase Transitions
- Quantum critical dynamics in a spinor Hubbard model quantum simulator
- Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
- Quantum information scrambling in two-dimensional Bose-Hubbard lattices
- Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions
- Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
- Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
- Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
- Quantum annealing in the NISQ era: railway conflict management
- Fundamental connection between temperature-quenched 2D superfluids and 2D quantum turbulence
- Structure and scaling of Kitaev chain across a quantum critical point in real space
- Floquet Schrieffer-Wolff transform based on Sylvester equations
- Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
- Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
- Kibble-Zurek scaling from linear response theory