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Dynamics of the central-depleted-well regime in the open Bose-Hubbard trimer

Vittorio Penna

  • Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy and CNISM, u.d.r., Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy

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Phys. Rev. E 87, 052909 – Published 16 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.052909

Abstract

We study the quantum dynamics of the central-depleted-well (CDW) regime in a three-mode Bose Hubbard model subject to a confining parabolic potential. By introducing a suitable set of momentum-like modes we identify the microscopic variables involved in the quantization process and the dynamical algebra of the model. We describe the diagonalization procedure showing that the model reduces to a double oscillator. Interestingly, we find that the parameter-space domain where this scheme entails a discrete spectrum well reproduces the two regions where the classical trimer excludes unstable oscillations. Spectral properties are examined in different limiting cases together with various delocalization effects. These are shown to characterize quantum states of the CDW regime in the proximity of the borderline with classically unstable domains.

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Phys. Rev. E 87, 052909– Published 16 May, 2013
  • Received 21 February 2013

©2013 American Physical Society

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