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Journal of Russian Laser Research

Numerical Study of Some Statistical Quantities for Quantum Systems Under Damping Effects

K. J. M. Abu Alnaja, S. E. Waheed, S. Abdel‐Khalek

Published May 1, 2016• 0 citations
Publisher
DOI
10.1007/s10946-016-9563-y

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For Bose–Einstein condensates in double wells, N -particle Rabi-like oscillations often seem to be damped. Far from being a decoherence effect, the apparent damping can indicate the emergence of quantum superpositions in the many-particle quantum dynamics. However, in an experiment it would be difficult to distinguish the apparent damping from decoherence effects. This paper suggests using controlled periodic shaking to quasi-instantaneously switch the sign of an effective Hamiltonian, thus implementing an 'echo' technique which distinguishes quantum superpositions from statistical mixtures. The scheme for the effective time reversal is tested by numerically solving the time-dependent N -particle Schrödinger equation.