Non-equilibrium dynamics of Bosonic Mott insulators in an electric field

Abstract

We study the non-equilibrium dynamics of one-dimensional Mott insulating bosons in the presence of a tunable effective electric field E which takes the system across a quantum critical point (QCP) separating a disordered and a translation symmetry broken ordered phase. We provide an exact numerical computation of the residual energy Q, the log-fidelity F, the excess defect density D, and the order parameter correlation function for a linear-in-time variation of E with a rate v. We discuss the temporal and spatial variation of these quantities for a range of v and for finite system sizes as relevant to realistic experimental setups [J. Simon et al., Nature 472, 307 (2011)]. We show that in finite-sized systems Q, F, and D obey Kibble-Zurek scaling, and suggest further experiments within this setup to test our theory.

4+epsilon pages, 3 figures

References in corpus (13)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Universal adiabatic dynamics across a quantum critical point
• Quench dynamics across quantum critical points
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Mott insulators in strong electric fields
• Universal nonequilibrium quantum dynamics in imaginary time
• Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
• Correlated phases of bosons in tilted, frustrated lattices
• Resonantly Enhanced Tunneling and Transport of Ultracold Atoms on Tilted Optical Lattices
• Many-body Landau-Zener tunneling in the Bose-Hubbard model

Cited by in corpus (42)

• Quantum quench in an atomic one-dimensional Ising chain
• Collapse and revival of quantum many-body scars via Floquet engineering
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Quantum dynamics with stochastic reset
• Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
• Observation of many-body long-range tunneling after a quantum quench
• Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Kibble-Zurek Mechanism and Finite-Time Scaling
• Restoring coherence via aperiodic drives in a many-body quantum system
• Kibble-Zurek scaling in the Yang-Lee edge singularity
• Formation of helical ion chains
• Kibble-Zurek mechanism of Ising domains
• Dynamic freezing and defect suppression in the tilted one-dimensional Bose-Hubbard model
• Theory of Driven Nonequilibrium Critical Phenomena
• Universal driven critical dynamics across a quantum phase transition in ferromagnetic spinor atomic Bose-Einstein condensates
• Microscopic theory of non-adiabatic response in real and imaginary time
• Kibble-Zurek mechanism in the Ising Field Theory
• Signatures of the superfluid to Mott insulator transition in equilibrium and in dynamical ramps
• Suppressing defect production during passage through a quantum critical point
• Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
• Ramp and periodic dynamics across non-Ising critical points
• Hybridized Kibble-Zurek scaling in the driven critical dynamics across an overlapping critical region
• Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
• Tuning towards dynamic freezing using a two-rate protocol
• Kibble-Zurek mechanism beyond adiabaticity: Finite-time scaling with critical initial slip
• Phases and collective modes of Rydberg atoms in an optical lattice
• Spin-models, dynamics and criticality with atoms in tilted optical superlattices
• Frustrated quantum Ising spins simulated by spinless bosons in a tilted lattice: from a quantum liquid to antiferromagnetic order
• Mott-insulator state of cold atoms in tilted optical lattices: doublon dynamics and multi-level Landau-Zener tunneling
• Scaling in driven dynamics starting in the vicinity of a quantum critical point
• Nonequilibrium critical dynamics in the quantum chiral clock model
• Many-body localized phase of bosonic dipoles in a tilted optical lattice
• On quantum phase transitions in tilted 2D lattices
• Ramp dynamics of phonons in an ion trap: entanglement generation and cooling
• Kibble-Zurek mechanism in quantum link model
• Periodic dynamics of fermionic superfluids in the BCS regime
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?
• Theory of phonon dynamics in an ion trap
• Detecting prethermal Floquet phases of Rydberg atom arrays
• Quantum dynamics of a spin model with an extensive degeneracy