Finite-rate quenches of site bias in the Bose-Hubbard dimer

2009/09/30 by Tejaswi Venumadhav, T. Venumadhav, Masudul Haque +2 · 17 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dimer #Ground state #Hamiltonian (control theory) #Hubbard model #Mathematics #Nuclear magnetic resonance #Physics #Quantum #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Superconductivity #Trapping #cond-mat.mes-hall #cond-mat.quant-gas #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.81.054305

published in Physical Review B 81(5) (American Physical Society) · 6 pages, 5 figures. v2 contains more detail and expanded description of quantum self-trapping.

openalex publication_date 2010/02/16 · arxiv created 2010/03/14 · arxiv updated 2010/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Nonequilibrium Gross-Pitaevskii dynamics of boson lattice models
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Exact Results for Quench Dynamics and Defect Production in a Two-Dimensional Model
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Evolution of the macroscopically entangled states in optical lattices
• Adiabatic quenches through an extended quantum critical region
• Sweeping from the Superfluid to the Mott Phase in the Bose-Hubbard Model
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Vortex Quantum Creation and Winding Number Scaling in a Quenched Spinor Bose Gas
• Nonequilibrium coherence dynamics of a soft boson lattice
• Defect Production in Nonlinear Quench across a Quantum Critical Point
• Optimal Nonlinear Passage Through a Quantum Critical Point
• Topology of cosmic domains and strings

Cited by

• Slow quench dynamics of Mott-insulating regions in a trapped Bose gas