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Full-Text Articles in Physics

Relativistic Quantum Heat Engine From Uncertainty Relation Standpoint, Pritam Chattopadhyay, Goutam Paul Dec 2019

Relativistic Quantum Heat Engine From Uncertainty Relation Standpoint, Pritam Chattopadhyay, Goutam Paul

Journal Articles

Established heat engines in quantum regime can be modeled with various quantum systems as working substances. For example, in the non-relativistic case, we can model the heat engine using infinite potential well as a working substance to evaluate the efficiency and work done of the engine. Here, we propose quantum heat engine with a relativistic particle confined in the one-dimensional potential well as working substance. The cycle comprises of two isothermal processes and two potential well processes of equal width, which forms the quantum counterpart of the known isochoric process in classical nature. For a concrete interpretation about the relation …


Multiplicativity Of Connes' Calculus, Partha Sarathi Chakraborty, Satyajit Guin Oct 2019

Multiplicativity Of Connes' Calculus, Partha Sarathi Chakraborty, Satyajit Guin

Journal Articles

In his book on noncommutative geometry, Connes constructed a differential graded algebra out of a spectral triple. Lack of monoidality of this construction is investigated. We identify a suitable monoidal subcategory of the category of spectral triples and show that when restricted to this subcategory the construction of Connes is monoidal. Richness of this subcategory is exhibited by establishing a faithful endofunctor to this subcategory.


Revisiting Singlino Dark Matter Of The Natural Z 3-Symmetric Nmssm In The Light Of Lhc, Waleed Abdallah, Arindam Chatterjee, Asesh Krishna Datta Sep 2019

Revisiting Singlino Dark Matter Of The Natural Z 3-Symmetric Nmssm In The Light Of Lhc, Waleed Abdallah, Arindam Chatterjee, Asesh Krishna Datta

Journal Articles

Inspired by the fact that relatively small values of the effective higgsino mass parameter of the Z3-symmetric Next-to-Minimal Supersymmetric Standard Model (NMSSM) could render the scenario ‘natural’, we explore the plausibility of having relatively light neutralinos and charginos (the electroweakinos or the ewinos) in such a scenario with a rather light singlino-like Lightest Supersymmetric Particle (LSP), which is a Dark Matter (DM) candidate, and singlet-dominated scalar excitations. By first confirming the indications in the existing literature that finding simultaneous compliance with results from the Large Hadron Collider (LHC) and those from various DM experiments with such light states is, in …


Probing Uncertainty Relations In Non-Commutative Space, Pritam Chattopadhyay, Ayan Mitra, Goutam Paul Aug 2019

Probing Uncertainty Relations In Non-Commutative Space, Pritam Chattopadhyay, Ayan Mitra, Goutam Paul

Journal Articles

In this paper, we compute uncertainty relations for non-commutative space and obtain a better lower bound than the standard one obtained from Heisenberg’s uncertainty relation. We also derive the reverse uncertainty relation for product and sum of uncertainties of two incompatible variables for one linear and another non-linear model of the harmonic oscillator. The non-linear model in non-commutating space yields two different expressions for Schrödinger and Heisenberg uncertainty relation. This distinction does not arise in commutative space, and even in the linear model of non-commutative space.


Tracing Cyclic Homology Pairings Under Twisting Of Graded Algebras, Sayan Chakraborty, Makoto Yamashita Jul 2019

Tracing Cyclic Homology Pairings Under Twisting Of Graded Algebras, Sayan Chakraborty, Makoto Yamashita

Journal Articles

We give a description of cyclic cohomology and its pairing with K-groups for 2-cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of monodromy for the Gauss–Manin connection on periodic cyclic cohomology in terms of the cup product action of group cohomology.


Scope Of Self-Interacting Thermal Wimps In A Minimal U(1) D Extension And Its Future Prospects, Rahool Kumar Barman, Biplob Bhattacherjee, Arindam Chatterjee, Arghya Choudhury, Aritra Gupta May 2019

Scope Of Self-Interacting Thermal Wimps In A Minimal U(1) D Extension And Its Future Prospects, Rahool Kumar Barman, Biplob Bhattacherjee, Arindam Chatterjee, Arghya Choudhury, Aritra Gupta

Journal Articles

In this work we have considered a minimal extension of Standard Model by a local U(1) gauge group in order to accommodate a stable (fermionic) Dark Matter (DM) candidate. We have focussed on parameter regions where DM possesses adequate self-interaction, owing to the presence of a light scalar mediator (the dark Higgs), alleviating some of the tensions in the small-scale structures. We have studied the scenario in the light of a variety of data, mostly from dark matter direct searches, collider searches and flavor physics experiments, with an attempt to constrain the interactions of the standard model (SM) particles with …


Quasinormal Mode Spectra For Odd Parity Perturbations In Spacetimes With Smeared Matter Sources, Kumar Das, Souvik Pramanik, Subir Ghosh Jan 2019

Quasinormal Mode Spectra For Odd Parity Perturbations In Spacetimes With Smeared Matter Sources, Kumar Das, Souvik Pramanik, Subir Ghosh

Journal Articles

We have found the quasinormal mode (QNM) frequencies of a class of static spherically symmetric spacetimes having a smeared matter distribution, parametrized by Θ, an inherent length scale. Here, our main focus is on the QNMs for the odd parity perturbation in this background geometry. The results presented here for diffused mass distribution reveal significant changes in the QNM spectrum. This could be relevant for future generation (cosmological) observations, specifically to distinguish the signals of gravitational waves from a nonsingular source in contrast to a singular geometry. We also provide numerical estimates for the Θ-corrected QNM spectrum applicable to typical …


Quantum Isometry Group Of Deformation: A Counterexample, Debashish Goswami, Arnab Mandal Jan 2019

Quantum Isometry Group Of Deformation: A Counterexample, Debashish Goswami, Arnab Mandal

Journal Articles

We give a counterexample to show that the quantum isometry group of a deformed finite dimensional spectral triple may not be isomorphic with a deformation of the quantum isometry group of the undeformed spectral triple.


Environmental Effects On Nonlocal Correlations, Tamal Guha, Bihalan Bhattacharya, Debarshi Das, Some Sankar Bhattacharya, Amit Mukherjee, Arup Roy, Kaushiki Mukherjee, Nirman Ganguly, A. S. Majumdar Jan 2019

Environmental Effects On Nonlocal Correlations, Tamal Guha, Bihalan Bhattacharya, Debarshi Das, Some Sankar Bhattacharya, Amit Mukherjee, Arup Roy, Kaushiki Mukherjee, Nirman Ganguly, A. S. Majumdar

Journal Articles

Environmental interactions are ubiquitous in practical instances of any quantum information processing protocol. The interaction results in depletion of various quantum resources and even complete loss in numerous situations. Nonlocality, which is one particular quantum resource marking a significant departure of quantum mechanics from classical mechanics, meets the same fate. In the present work we study the decay in nonlocality to the extent of the output state admitting a local hidden state model. Using some fundamental quantum channels we also demonstrate the complete decay in the resources in the purview of the Bell–Clauser– Horne–Shimony–Holt inequality and a three-settings steering inequality. …