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

Journal Article · Mon Feb 01 00:00:00 EST 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.81.054305· OSTI ID:21366672

Venumadhav, T ^[1]; Haque, Masudul; Moessner, R ^[1]

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1. Max-Planck Institute for the Physics of Complex Systems, Noethnitzer Str. 38, 01187 Dresden (Germany)

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.

• OSTI ID: 21366672
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevB.81.054305; (c) 2010 The American Physical Society; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMMETRY
DEFECTS
DENSITY
DIMERS
GROUND STATES
HAMILTONIANS
HUBBARD MODEL
PHASE TRANSFORMATIONS
SYMMETRY
TRAPPING
CRYSTAL MODELS
ENERGY LEVELS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PHYSICAL PROPERTIES
QUANTUM OPERATORS