30 citations · 80 across the 3 of their papers we have counts for
9 papers
Exactly Solvable Quasi-hermitian Transverse Ising Model
Tetsuo Deguchi, Pijush K. Ghosh
A non-hermitian deformation of the one-dimensional transverse Ising model is shown to have the property of quasi-hermiticity. The transverse Ising chain is obtained from the starti…
Level statistics of a pseudo-Hermitian Dicke model
Tetsuo Deguchi, Pijush K. Ghosh, Kazue Kudo
A non-Hermitian operator that is related to its adjoint through a similarity transformation is defined as a pseudo-Hermitian operator. We study the level-statistics of a pseudo-Her…
Quantum Phase Transition in a Pseudo-hermitian Dicke model
Tetsuo Deguchi, Pijush K. Ghosh
We show that a Dicke-type pseudo-hermitian Hamiltonian undergoes quantum phase transition by mapping it to the "Dressed Dicke Model" through a similarity transformation. We find th…
Exactly solvable non-Hermitian Jaynes-Cummings-type Hamiltonian admitting entirely real spectra from supersymmetry
Pijush K. Ghosh
It is shown that for a given Hermitian Hamiltonian possessing supersymmetry, there is alwayas a non-hermitian Jaynes-Cummings-type Hamiltonian(JCTH) admitting entirely real spectra…
Comment on ``Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases"
Pijush K. Ghosh
We comment on the work of Fischer, Phys. Rev. Lett. 93, 160403 (2004). Contrary to the claim in the letter, we argue that the anyonic excitation statistics does not play any dynami…
Supersymmetric quantum mechanics on noncommutative space
Pijush K. Ghosh
We construct supersymmetric quantum mechanics in terms of two real supercharges on noncommutative space in arbitrary dimensions. We obtain the exact eigenspectra of the two and thr…