Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics, Applied Mathematics
16
Scopus Publications
76
Scholar Citations
5
Scholar h-index
3
Scholar i10-index
Scopus Publications
On the entanglement of co-ordinate and momentum degrees of freedom in noncommutative space Shilpa Nandi, Muklesur Rahaman, Pinaki Patra Modern Physics Letters A, 2024 In this paper, we investigate the quantum entanglement induced by phase-space noncommutativity. Both the position–position and momentum–momentum noncommutativity are incorporated to study the entanglement properties of coordinate and momentum degrees of freedom under the shade of oscillators in noncommutative space. Exact solutions for the systems are obtained after the model is re-expressed in terms of canonical variables, by performing a particular Bopp’s shift to the noncommuting degrees of freedom. It is shown that the bipartite Gaussian state for an isotropic oscillator is always separable. To extend our study for the time-dependent system, we allow arbitrary time dependency on parameters. The time-dependent isotropic oscillator is solved with the Lewis–Riesenfeld invariant method. It turns out that even for arbitrary time-dependent scenarios, the separability property does not alter. We extend our study to the anisotropic oscillator, which provides an entangled state even for time-independent parameters. The Wigner quasi-probability distribution is constructed for a bipartite Gaussian state. The noise matrix (covariance matrix) is explicitly studied with the help of Wigner distribution. Simon’s separability criterion (generalized Peres–Horodecki criterion) has been employed to find the unique function of the (mass and frequency) parameters, for which the bipartite states are separable. In particular, we show that the mere inclusion of non-commutativity of phase-space is not sufficient to generate the entanglement, rather anisotropy is important at the same footing. We explore the experimental viability of our result through the computation of extractable work for the current situation.
Tuning the separability in noncommutative space Pinaki Patra Journal of Mathematical Physics, 2024 With the help of the generalized Peres–Horodecki separability criterion (Simon’s condition) for a bipartite Gaussian state, we have studied the separability of the noncommutative (NC) space coordinate degrees of freedom. Non-symplectic nature of the transformation between the usual commutative space and NC space restricts the straightforward use of Simon’s condition in NCS. We have transformed the NCS system to an equivalent Hamiltonian in commutative space through the Bopp shift, which enables the utilization of the separability criterion. To make our study fairly general and to analyze the effect of parameters on the separability of bipartite state in NC-space, we have considered a bilinear Hamiltonian with time-dependent (TD) parameters, along with a TD external interaction, which is linear in field modes. The system is transformed (Sp(4,R)) into canonical form keeping the intrinsic symplectic structure intact. The solution of the TD-Schrödinger equation is obtained with the help of the Lewis–Riesenfeld invariant method (LRIM). Expectation values of the observables (thus the covariance matrix) are constructed from the states obtained from LRIM. It turns out that the existence of the NC parameters in the oscillator determines the separability of the states. In particular, for isotropic oscillators, the separability condition for the bipartite Gaussian states depends on specific values of NC parameters. Moreover, particular anisotropic parameter values for the oscillator may cease the separability. In other words, both the deformation parameters (θ, η) and parameter values of the oscillator (mass, frequency) are important characteristics for the separability of bipartite Gaussian states. Thus tuning the parameter values, one can destroy or recreate the separability of states. With the help of a toy model, we have demonstrated how the tuning of a TD-NC space parameter affects the separability.
On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field Pinaki Patra Journal of Mathematical Physics, 2023 A charged harmonic oscillator in a magnetic field, Landau problems, and an oscillator in a noncommutative space share the same mathematical structure in their Hamiltonians. We have considered a two-dimensional anisotropic harmonic oscillator with arbitrarily time-dependent parameters (effective mass and frequencies), placed in an arbitrarily time-dependent magnetic field. A class of quadratic invariant operators (in the sense of Lewis and Riesenfeld) have been constructed. The invariant operators (Î) have been reduced to a simplified representative form by a linear canonical transformation [the group Sp(4,R)]. An orthonormal basis of the Hilbert space consisting of the eigenvectors of Î is obtained. In order to obtain the solutions of the time-dependent Schrödinger equation corresponding to the system, both the geometric and dynamical phase-factors are constructed. A generalized Peres–Horodecki separability criterion (Simon’s criterion) for the ground state corresponding to our system has been demonstrated.
On a general class of solutions of a nonholonomic extension of optical pulse equation Electronic Journal of Theoretical Physics, 2011
RECENT SCHOLAR PUBLICATIONS
Information geometry and entanglement under phase-space deformation through nonsymplectic congruence transformation S Nandi, S Maity, P Patra arXiv preprint arXiv:2505.02269 , 2025 2025
Information geometry of entangled states induced by noncommutative deformation of phase space S Nandi, P Patra arXiv preprint arXiv:2502.05688 , 2025 2025
On the entanglement of co-ordinate and momentum degrees of freedom in noncommutative space S Nandi, M Rahaman, P Patra Modern Physics Letters A 39 (19n20), 2450091 , 2024 2024
Tuning the separability in noncommutative space P Patra Journal of Mathematical Physics 65 (5) , 2024 2024 Citations: 2
On the -Symmetric Parametric Amplifier P Patra Brazilian Journal of Physics 54 (1), 24 , 2024 2024 Citations: 1
On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field P Patra Journal of Mathematical Physics 64 (4) , 2023 2023 Citations: 10
Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space: P. Patra P Patra Quantum Information Processing 22 (1), 20 , 2022 2022 Citations: 3
Dynamics of the free time-dependent effective mass P Patra, A Chowdhury, M Jana The European Physical Journal Plus 137 (9), 1-9 , 2022 2022 Citations: 5
-symmetric Quantum systems for position-dependent effective mass violate the Heisenberg uncertainty principle P Patra arXiv preprint arXiv:2208.10336 , 2022 2022
Squeezed coherent states for gravitational well in noncommutative space: P Patra et al. P Patra, JP Saha, K Biswas Indian Journal of Physics 96 (1), 309-315 , 2022 2022 Citations: 4
Squeezed coherent state for free-falling Maxwell–Chern–Simons model in long-wavelength limit: K Biswas et al. K Biswas, JP Saha, P Patra Indian Journal of Physics 95 (4), 647-655 , 2021 2021 Citations: 3
Entropy uncertainty principle for Dirac system with mass jump P Patra, K Biswas arXiv preprint arXiv:2007.12270 , 2020 2020
Generalized Lewis-Riesenfeld invariance for dynamical effective mass in jammed granullar media under a potential well in non-commutative space K Biswas, JP Saha, P Patra arXiv preprint arXiv:2006.11252 , 2020 2020 Citations: 1
On the position-dependent effective mass Hamiltonian K Biswas, JP Saha, P Patra The European Physical Journal Plus 135 (6), 457 , 2020 2020 Citations: 17
Constraints on the choice of position dependent effective mass and external potential for the existence of Lewis-Riesenfeld invariance and quantum canonical transformation K Biswas, JP Saha, P Patra arXiv preprint arXiv:2003.13424 , 2020 2020
Self-adjoint extension for Maxwell-Chern-Simons model in long wavelength limit P Patra, JP Saha, K Biswas arXiv preprint arXiv:1703.06797 , 2017 2017
Current conservation in charge conjugation parity time reversal symmetry violating gauge-invariant nonlocal Thirring model P Patra, JP Saha Indian Journal of Physics 89 (1), 87-90 , 2015 2015
Quantum restoration of broken symmetry in one-dimensional loop space P Patra, T Mandal, JP Saha Pramana 82 (6), 965-971 , 2014 2014
Uncertainty principle guarantees genuine source of intrinsic randomness T Chakraborty, M Banik, P Patra Quantum information processing 13 (4), 839-848 , 2014 2014 Citations: 1
Modified Hamiltonian Formalism for Regge‐Teitelboim Cosmology P Patra, M Raju, G Manna, JP Saha Physics Research International 2014 (1), 606727 , 2014 2014
MOST CITED SCHOLAR PUBLICATIONS
Engineering wave localization in a fractal waveguide network B Pal, P Patra, JP Saha, A Chakrabarti Physical Review A—Atomic, Molecular, and Optical Physics 87 (2), 023814 , 2013 2013.0 Citations: 20
On the position-dependent effective mass Hamiltonian K Biswas, JP Saha, P Patra The European Physical Journal Plus 135 (6), 457 , 2020 2020.0 Citations: 17
On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field P Patra Journal of Mathematical Physics 64 (4) , 2023 2023.0 Citations: 10
SUSY formalism for the symmetric double well potential P PATRA, A DUTTA, JP Saha Pramana, 1-10 , 0 Citations: 9
Dynamics of the free time-dependent effective mass P Patra, A Chowdhury, M Jana The European Physical Journal Plus 137 (9), 1-9 , 2022 2022.0 Citations: 5
Squeezed coherent states for gravitational well in noncommutative space: P Patra et al. P Patra, JP Saha, K Biswas Indian Journal of Physics 96 (1), 309-315 , 2022 2022.0 Citations: 4
Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space: P. Patra P Patra Quantum Information Processing 22 (1), 20 , 2022 2022.0 Citations: 3
Squeezed coherent state for free-falling Maxwell–Chern–Simons model in long-wavelength limit: K Biswas et al. K Biswas, JP Saha, P Patra Indian Journal of Physics 95 (4), 647-655 , 2021 2021.0 Citations: 3
Tuning the separability in noncommutative space P Patra Journal of Mathematical Physics 65 (5) , 2024 2024.0 Citations: 2
On the -Symmetric Parametric Amplifier P Patra Brazilian Journal of Physics 54 (1), 24 , 2024 2024.0 Citations: 1
Generalized Lewis-Riesenfeld invariance for dynamical effective mass in jammed granullar media under a potential well in non-commutative space K Biswas, JP Saha, P Patra arXiv preprint arXiv:2006.11252 , 2020 2020.0 Citations: 1
Uncertainty principle guarantees genuine source of intrinsic randomness T Chakraborty, M Banik, P Patra Quantum information processing 13 (4), 839-848 , 2014 2014.0 Citations: 1
Information geometry and entanglement under phase-space deformation through nonsymplectic congruence transformation S Nandi, S Maity, P Patra arXiv preprint arXiv:2505.02269 , 2025 2025.0
Information geometry of entangled states induced by noncommutative deformation of phase space S Nandi, P Patra arXiv preprint arXiv:2502.05688 , 2025 2025.0
On the entanglement of co-ordinate and momentum degrees of freedom in noncommutative space S Nandi, M Rahaman, P Patra Modern Physics Letters A 39 (19n20), 2450091 , 2024 2024.0
-symmetric Quantum systems for position-dependent effective mass violate the Heisenberg uncertainty principle P Patra arXiv preprint arXiv:2208.10336 , 2022 2022.0
Entropy uncertainty principle for Dirac system with mass jump P Patra, K Biswas arXiv preprint arXiv:2007.12270 , 2020 2020.0
Constraints on the choice of position dependent effective mass and external potential for the existence of Lewis-Riesenfeld invariance and quantum canonical transformation K Biswas, JP Saha, P Patra arXiv preprint arXiv:2003.13424 , 2020 2020.0
Self-adjoint extension for Maxwell-Chern-Simons model in long wavelength limit P Patra, JP Saha, K Biswas arXiv preprint arXiv:1703.06797 , 2017 2017.0
Current conservation in charge conjugation parity time reversal symmetry violating gauge-invariant nonlocal Thirring model P Patra, JP Saha Indian Journal of Physics 89 (1), 87-90 , 2015 2015.0
