Finite-rate quenches of site bias in the Bose-Hubbard dimer
arXiv:0909.0255 · doi:10.1103/PhysRevB.81.054305
Abstract
For a Bose-Hubbard dimer, we study quenches of the site energy imbalance, taking a highly asymmetric Hamiltonian to a fully symmetric one. The ramp is carried out over a finite time that interpolates between the instantaneous and adiabatic limits. We provide results for the excess energy of the final state compared to the ground state energy of the final Hamiltonian, as a function of the quench rate. This excess energy serves as the analog of the defect density that is considered in the Kibble-Zurek picture of ramps across phase transitions. We also examine the fate of quantum `self-trapping' when the ramp is not instantaneous.
6 pages, 5 figures. v2 contains more detail and expanded description of quantum self-trapping.
References in corpus (23)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Defect production in non-linear quench across a quantum critical point
- Exact results for quench dynamics and defect production in a two-dimensional model
- Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
- Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
- Optimal non-linear passage through a quantum critical point
- Dynamics after a sweep through a quantum critical point
- Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models
- Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
- Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
- Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
- Adiabatic dynamics in open quantum critical many-body systems
- Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
- Quench dynamics and defect production in the Kitaev and extended Kitaev models
- Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
- Dissociation of ultracold molecules with Feshbach resonances
- Evolution of the macroscopically entangled states in optical lattices
- Theory of defect production in nonlinear quench across a quantum critical point
- Adiabatic quenches through an extended quantum critical region
- Entanglement production due to quench dynamics of an anisotropic XY chain in a transverse field
- Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
- Dynamical quantum phase transitions
- Quantum Spinodal Phenomena
Cited by in corpus (16)
- Many-body Landau-Zener dynamics in coupled 1D Bose liquids
- Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
- On the thermalization of a Luttinger liquid after a sequence of sudden interaction quenches
- Landau-Zener sweeps and sudden quenches in coupled Bose-Hubbard chains
- Quench from Mott Insulator to Superfluid
- Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
- Non-equilibrium dynamics in Bose-Hubbard ladders
- Phase diagram of Landau-Zener phenomena in coupled one-dimensional Bose quantum fluids
- Quantum quench dynamics of the Bose-Hubbard model at finite temperatures
- Many-body quantum dynamics of an asymmetric bosonic Josephson junction
- Slow interaction ramps in trapped many-particle systems: universal deviations from adiabaticity
- Interaction ramps in a trapped Bose condensate
- Signatures of Self-Trapping in the Driven-Dissipative Bose-Hubbard Dimer
- Semiclassical Spectrum of Small Bose-Hubbard Chains: A Normal Form Approach
- Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer
- Dynamics of the Mott Insulator to Superfluid quantum phase transition in the truncated Wigner approximation