Disordered-quantum-walk-induced localization of a Bose-Einstein condensate

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

DOI:https://doi.org/10.1103/PHYSREVA.83.022320· OSTI ID:21537136

Chandrashekar, C M ^[1]

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1. Center for Quantum Science, The Institute of Mathematical Sciences, Chennai 600113 (India)

We present an approach to induce localization of a Bose-Einstein condensate in a one-dimensional lattice under the influence of unitary quantum-walk evolution using disordered quantum coin operation. We introduce a discrete-time quantum-walk model in which the interference effect is modified to diffuse or strongly localize the probability distribution of the particle by assigning a different set of coin parameters picked randomly for each step of the walk, respectively. Spatial localization of the particle or state is explained by comparing the variance of the probability distribution of the quantum walk in position space using disordered coin operation to that of the walk using an identical coin operation for each step. Due to the high degree of control over quantum coin operation and most of the system parameters, ultracold atoms in an optical lattice offer opportunities to implement a disordered quantum walk that is unitary and induces localization. Here we present a scheme to use a Bose-Einstein condensate that can be evolved to the superposition of its internal states in an optical lattice and control the dynamics of atoms to observe localization. This approach can be adopted to any other physical system in which controlled disordered quantum walk can be implemented.

• OSTI ID: 21537136
• 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
ATOMS
BOSE-EINSTEIN CONDENSATION
CONTROL
EVOLUTION
INTERFERENCE
MATHEMATICAL EVOLUTION
MATHEMATICAL SPACE
ONE-DIMENSIONAL CALCULATIONS
PARTICLES
PROBABILITY
QUANTUM STATES
SPACE