Dynamics of first-order quantum phase transitions in extended Bose-Hubbard model: From density wave to superfluid and vice-versa
arXiv:1803.02548 · doi:10.1088/1367-2630/aad5f9
Abstract
In this paper, we study the nonequilibrium dynamics of the Bose-Hubbard model with the nearest-neighbor repulsion by using time-dependent Gutzwiller (GW) methods. In particular, we vary the hopping parameters in the Hamiltonian as a function of time, and investigate the dynamics of the system from the density wave (DW) to the superfluid (SF) crossing a first-order phase transition and vice-versa. From the DW to SF, we find scaling laws for the correlation length and vortex density with respect to the quench time. This is a reminiscence of the Kibble-Zurek scaling for continuous phase transitions and contradicts the common expectation. We give a possible explanation for this observation. On the other hand from the SF to DW, the system evolution depends on the initial SF state. When the initial state is the ground-state obtained by the static GW methods, a coexisting state of the SF and DW domains forms after passing through the critical point. Coherence of the SF order parameter is lost as the system evolves. This is a phenomenon similar to the glass transition in classical systems. When the state starts from the SF with small local phase fluctuations, the system obtains a large-size DW-domain structure with thin domain walls.
arXiv comment21 pages, 13 figures, Version to appear in New J. Phys, typos corrected
References in corpus (41)
- Many-Body Physics with Ultracold Gases
- Cold bosonic atoms in optical lattices
- Quantum Simulation
- Probing many-body dynamics on a 51-atom quantum simulator
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Cosmological Experiments in Condensed Matter Systems
- Dynamics of a Quantum Phase Transition
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Universal adiabatic dynamics across a quantum critical point
- Non-standard Hubbard models in optical lattices: a review
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Emergence of coherence in a uniform quasi-two-dimensional Bose gas
- The Kibble-Zurek Problem: Universality and the Scaling Limit
- Creation of a molecular condensate by dynamically melting a Mott-insulator
- Emergence of coherence and the dynamics of quantum phase transitions
- Quantum Quench of an Atomic Mott Insulator
- Topology induced anomalous defect production by crossing a quantum critical point
- Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
- Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
- Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
- Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
- Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Density wave and supersolid phases of correlated bosons in an optical lattice
- Space-time renormalization in phase transition dynamics
- Mean field dynamics of superfluid-insulator phase transition in a gas of ultra cold atoms
- Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
- Ground-State Phase Diagram of the Two-Dimensional Extended Bose-Hubbard Model
- Local versus global equilibration near the bosonic Mott-superfluid transition
- Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
- Dynamic off-equilibrium transition in systems slowly driven across thermal first-order phase transitions
- Expansion of Bose-Hubbard Mott insulators in optical lattices
- Dynamics of a quantum phase transition in the Bose-Hubbard model: Kibble-Zurek mechanism and beyond
- Universality in the dynamics of second-order phase transitions
- Out-of-equilibrium dynamics driven by localized time-dependent perturbations at quantum phase transitions
- Mean-field theory of Bose-Fermi mixtures in optical lattices
- Hybridized Kibble-Zurek scaling in the driven critical dynamics across an overlapping critical region
- Creating exotic condensates via quantum-phase-revival dynamics in engineered lattice potentials
- Dynamics of the quantum search and quench-induced first-order phase transitions
- Superfluidity and solid orders in two-component Bose gas with dipolar interactions in an optical lattice
Cited by in corpus (17)
- Realizing discontinuous quantum phase transitions in a strongly-correlated driven optical lattice
- Non-adiabatic dynamics across a first order quantum phase transition: Quantized bubble nucleation
- Observation of generalized Kibble-Zurek mechanism across a first-order quantum phase transition in a spinor condensate
- Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
- Kibble-Zurek Dynamics in a Trapped Ultracold Bose Gas
- Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices
- Observation of many-body quantum phase transitions beyond the Kibble-Zurek mechanism
- Glassy Dynamics from Quark Confinement: Atomic Quantum Simulation of Gauge-Higgs Model on Lattice
- Out-of-equilibrium dynamics of multiple second-order quantum phase transitions in extended Bose-Hubbard model: Superfluid, supersolid and density wave
- Quantum phases of dipolar bosons in multilayer optical lattice
- Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
- Dynamics of a Nonequilibrium Discontinuous Quantum Phase Transition in a Spinor Bose-Einstein Condensate
- Application of the inhomogeneous Kibble-Zurek mechanism to quench dynamics in the transition from a Mott-insulator to a superfluid in a finite system
- Out-of-equilibrium dynamics of Bose-Bose mixtures in optical lattices
- Observation of heat scaling across a first-order quantum phase transition in a spinor condensate
- Fine-grained domain counting and percolation analysis in 2D lattice systems with linked-lists
- Density wave propagation in a two-dimensional random dimer potential: from a single to a bipartite square lattice