Second Josephson oscillations

Abstract

As a model for mesoscopic quantum systems in thermal contact, we consider a four-mode Bose-Hubbard model with two greatly differing tunneling rates. By a series of Holstein-Primakoff transformations we show that the low-frequency dynamics of this system consists in general of two slow Josephson oscillations, rather than the single slow mode predicted by linear Bogoliubov theory. We identify the second slow Josephson oscillation as a heat exchange mode analogous to second sound.

References in corpus (3)

• Thermalization and its mechanism for generic isolated quantum systems
• Breakdown of thermalization in finite one-dimensional systems
• Dynamical phase transition in correlated fermionic lattice systems

Cited by in corpus (18)

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• Collective interference of composite two-fermion bosons
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• Quantum integrable multi-well tunneling models
• Spectral analysis of two-dimensional Bose-Hubbard models
• Entanglement generation through particle detection in systems of identical fermions
• Integrable model of bosons in a four-well ring with anisotropic tunneling
• Statistical signatures of states orthogonal to the Fock-state ladder of composite bosons
• An extension of Bogoliubov theory for a many-body system with a time scale hierarchy: the quantum mechanics of second Josephson oscillations
• Coherence oscillations between weakly coupled Bose-Hubbard dimers
• Self-trapping of excitations: Two-dimensional quasiparticle solitons in an extended Bose-Hubbard dimer array
• Prethermalization with negative specific heat
• Quantum dynamics of a binary mixture of BECs in a double well potential: an Holstein-Primakoff approach
• Many-body effects in a composite bosonic Josephson junction
• Second Josephson excitations beyond mean field as a toy model for thermal pressure: exact quantum dynamics and the quantum phase model
• Chaos and bi-partite entanglement between Bose-Joephson junctions
• Chaos assisted many-body tunnelling