Orbital elementary excitations as probes of entanglement and quantum phase transitions of collective spins in an entangled Bose-Einstein condensate

Journal Article · Tue Feb 15 04:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.025601· OSTI ID:21537246

Rukuan, Wu ^[1]; Yu, Shi ^[1]

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1. State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433 (China)

A mixture of two species of pseudospin-(1/2) Bose gases exhibits interesting interplay between spin and orbital degrees of freedom. Expectation values of various quantities of the collective spins of the two species play crucial roles in the Gross-Pitaevskii-like equations governing the four orbital wave functions in which Bose-Einstein condensation occurs. Consequently, the elementary excitations of these orbital wave functions reflect properties of the collective spins. When the coupling between the two collective spins is isotropic, the energy gap of the gapped orbital excitation peaks. There is a quantum phase transition in the ground state of the effective Hamiltonian of the two collective spins, which have previously been found to be maximally entangled.

• OSTI ID: 21537246
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 83; 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
ANGULAR MOMENTUM
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
DEGREES OF FREEDOM
ENERGY GAP
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EXCITATION
FUNCTIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
QUANTUM OPERATORS
SPIN
WAVE FUNCTIONS