Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
arXiv:2302.13347 · doi:10.1103/PhysRevB.107.144510
Abstract
Quantum simulations of the Bose-Hubbard model (BHM) at commensurate filling can follow spreading of correlations after a sudden quench for times long enough to estimate their propagation velocities. In this work we perform tensor network simulation of the quantum Kibble-Zurek (KZ) ramp from the Mott towards the superfluid phase in the square lattice BHM and demonstrate that even relatively short ramp/quench times allow one to test the power laws predicted by the KZ mechanism (KZM). They can be verified for the correlation length and the excitation energy but the most reliable test is based on the KZM scaling hypothesis for the single particle correlation function: the correlation functions for different quench times evaluated at the same scaled time collapse to the same scaling function of the scaled distance. The scaling of the space and time variables is done according to the KZ power laws.
8 pages; minor corrections, to appear in PRB;
References in corpus (42)
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- A class of quantum many-body states that can be efficiently simulated
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
- 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
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Emergence of coherence in a uniform quasi-two-dimensional Bose gas
- 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''
- Quantum critical dynamics in a 5000-qubit programmable spin glass
- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Defect production in non-linear quench across a quantum critical point
- 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
- Observation of Solitonic Vortices in Bose-Einstein Condensates
- Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
- Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
- Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate
- Defect formation beyond Kibble-Zurek mechanism and holography
- Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
- Spontaneous nucleation of structural defects in inhomogeneous ion chains
- Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
- Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
- Realization of inverse Kibble-Zurek scenario with trapped Bose gases
- Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model
- Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
- Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model
- Kibble-Zurek mechanism in the Ising Field Theory
- Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
- Finite temperature tensor network study of the Hubbard model on an infinite square lattice
- Time evolution of an infinite projected entangled pair state: a gradient tensor update in the tangent space
- Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
- Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
- Kink correlations, domain size distribution, and the emptiness formation probability after the Kibble-Zurek quench in the quantum Ising chain
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- Spectral functions with infinite projected entangled-pair states
- Apparent delay of the Kibble-Zurek mechanism in quenched open systems
- Two-dimensional correlation propagation dynamics with a cluster discrete phase-space method
- Bang-bang preparation of quantum many-body ground states in two dimensions: optimization of the algorithm with a two-dimensional tensor network
- Entanglement generation and scaling from noisy quenches across a quantum critical point
- Deconstructing symmetry breaking dynamics
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- Truncating loopy tensor networks by zero-mode gauge fixing