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19932023
most citedIntegrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric Potential

89 citations · 922 across the 49 of their papers we have counts for

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quant-ph2011★ 21 cited

A note on topological insulator phase in non-hermitian quantum systems

Pijush K. Ghosh

Examples of non-hermitian quantum systems admitting topological insulator phase are presented in one, two and three space dimensions. All of these non-hermitian Hamiltonians have e…

quant-ph2010★ 10 cited

Constructing Exactly Solvable Pseudo-hermitian Many-particle Quantum Systems by Isospectral Deformation

Pijush K. Ghosh

A class of non-Dirac-hermitian many-particle quantum systems admitting entirely real spectra and unitary time-evolution is presented. These quantum models are isospectral with Dira…

quant-ph2009★ 13 cited

On the construction of pseudo-hermitian quantum system with a pre-determined metric in the Hilbert space

Pijush K. Ghosh

A class of pseudo-hermitian quantum system with an explicit form of the positive-definite metric in the Hilbert space is presented. The general method involves a realization of the…

quant-ph2009★ 29 cited

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…

quant-ph2009★ 21 cited

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…

quant-ph2005★ 29 cited

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…