Two-mode Bose gas: Beyond classical squeezing

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.063605· OSTI ID:21439513

Bodet, C; Gasenzer, T ^[1]; Esteve, J ^[2]; Oberthaler, M K ^[2]

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1. Institut fuer Theoretische Physik, Ruprecht-Karls-Universitaet Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)
2. Kirchhoff Institut fuer Physik, Ruprecht-Karls-Universitaet Heidelberg, Im Neuenheimer Feld 227, D-69120 Heidelberg (Germany)

The dynamical evolution of squeezing correlations in an ultracold Bose-Einstein condensate distributed across two modes is investigated theoretically in the framework of the Bose-Hubbard model. It is shown that the eigenstates of the Hamiltonian do not exploit the full region allowed by Heisenberg's uncertainty relation for number and phase fluctuations. The development of nonclassical correlations and relative number squeezing is studied in the transition from the Josephson to the Fock regime. Comparing the full quantum evolution with classical statistical simulations allows us to identify quantum aspects of the squeezing formation. In the quantum regime, the measurement of squeezing allows us to distinguish even and odd total particle numbers.

• OSTI ID: 21439513
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
CORRELATIONS
CRYSTAL MODELS
EIGENSTATES
EVOLUTION
FLUCTUATIONS
HAMILTONIANS
HUBBARD MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM MECHANICS
QUANTUM OPERATORS
SIMULATION
UNCERTAINTY PRINCIPLE
VARIATIONS