5 papers
Quantum revivals, geometric phases and circle map recurrences
S. Seshadri, S. Lakshmibala, V. Balakrishnan
Revivals of the coherent states of a deformed, adiabatically and cyclically varying oscillator Hamiltonian are examined. The revival time distribution is exactly that of Poincaré r…
Control of Wave Packet Revivals Using Geometric Phases
S. Seshadri, S. Lakshmibala, V. Balakrishnan
Wave packets in a system governed by a Hamiltonian with a generic nonlinear spectrum typically exhibit both full and fractional revivals. It is shown that the latter can be elimina…
Geometric phases for generalized squeezed coherent states
S. Seshadri, S. Lakshmibala, V. Balakrishnan
A simple technique is used to obtain a general formula for the Berry phase (and the corresponding Hannay angle) for an arbitrary Hamiltonian with an equally-spaced spectrum and app…
Ladder operators for isospectral oscillators
S. Seshadri, V. Balakrishnan, S. Lakshmibala
We present, for the isospectral family of oscillator Hamiltonians, a systematic procedure for constructing raising and lowering operators satisfying any prescribed `distorted' Heis…
Noise-amplitude dependence of the invariant density for noisy, fully chaotic one-dimensional maps
S. Seshadri, V. Balakrishnan, S. Lakshmibala
We present some analytic, non-perturbative results for the invariant density rho(x) for noisy one-dimensional maps at fully developed chaos. Under periodic boundary conditions, the…