Supersymmetric manipulation of quasienergy states. Application to the Berry phase

Details Supersymmetric manipulation of quasienergy states. Application to the Berry phase Supersymmetric manipulation of quasienergy states. Application to the Berry phase

2003-04-22

arxiv.org/abs/quant-ph/0304144v1

Journal of Physics A: Math. Gen. 2003, V. 36, L585-L591

Physics

Quantum Physics

4 pages, 2 figures, submitted to PRL

Scientific paper

Time-dependent supersymmetry allows one to delete quasienergy levels for
time-periodic Hamiltonians and to create new ones. We illustrate this by
examining an exactly solvable model related to the simple harmonic oscillator
with a time-varying frequency. For an interesting nonharmonic example we
present the change of the Berry phase due to a supersymmetry transformation.

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