Noise and counting statistics of insulating phases in one-dimensional optical lattices

Journal Article · Sun Jul 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.011603· OSTI ID:21011140

Lamacraft, Austen ^[1]

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1. Rudolf Peierls Centre for Theoretical Physics and All Souls College, 1 Keble Road, Oxford OX1 3NP (United Kingdom)

We discuss the correlation properties of current-carrying states of one-dimensional insulators, which could be realized by applying an impulse to atoms loaded onto an optical lattice. While the equilibrium noise has a gapped spectrum, the quantum uncertainty encoded in the amplitudes for the Zener process gives a zero-frequency contribution out of equilibrium. We derive a general expression for the generating function of the full counting statistics and find that the particle transport obeys binomial statistics with doubled charge, resulting in super-Poissonian noise that originates from the coherent creation of particle-hole pairs.

• OSTI ID: 21011140
• Journal Information: Physical Review. A, Vol. 76, Issue 1; Other Information: DOI: 10.1103/PhysRevA.76.011603; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
ATOMS
COHERENT PRODUCTION
CORRELATIONS
EQUILIBRIUM
NOISE
ONE-DIMENSIONAL CALCULATIONS
OPTICAL MODELS
PULSES
STATISTICS