arXiv subjects

Jayarshi Bhattacharya

Publications and source records attributed to Jayarshi Bhattacharya.

3 recordsLinked to original sources

arXiv2025

Current and quantum transport factor of fermionic system in fermionic bath

This paper explores the dynamics of current and the quantum transport factor in a fermionic system with a central oscillator interacting with two fermionic reservoirs at different temperatures. We derive the master equation for the system density matrix, accounting for energy exchange between the system and the reservoirs. The current is analyzed in relation to system parameters and reservoir temperatures, revealing that the quantum transport factor differs from classical systems, approaching Carnot efficiency at high temperatures but being different at low temperatures. We also examine the power spectrum of the current, providing insights into current fluctuations and their temperature dependence. Furthermore, we derive the Fokker-Planck equation and the Glauber-Sudarshan P-representation, where the steady-state probability distribution takes a Gaussian form, confirming the system behaves like a harmonic oscillator. This work advances the understanding of quantum transport in fermionic systems and provides a foundation for future research in quantum thermodynamics.

quant-ph↗

arXiv2025

Current, quantum transport and entropic force of bosonic systems interacting with two thermal reservoirs

This paper investigates the dynamics of current and quantum transport factor in a bosonic system consisting of a central system interacting with two reservoirs at different temperatures. We derive a master equation describing the time evolution of the density matrix of the system, accounting for the interactions and energy transfer between the components. We quantify the current, representing the flow of bosons through the system and analyse its dependence on the system's parameters and temperatures of the thermal reservoirs. In the steady state regime, we derived an expression for the quantum transport factor of the energy transfer process. Our analysis show that quantum effects, such as the dependence on temperature can significantly impact this factor. In particular, we observe that the transport factor of the quantum system is greater than the corresponding factor when the temperature goes to infinity, where the factor has an identical form with the Carnot efficiency of an ideal heat engine. We then derived the Fokker-Planck equation to find out the Glauber-Sudarsan $P$-representation. In the steady state of the equation, the probability distribution comes out to be in Gaussian form. We then calculated the entropic force for this probability distribution which gives the Hooke's law in the steady state, in agreement with the fact that our system is a harmonic oscillator.

quant-ph↗

arXiv2023

Entropic force for quantum particles

Entropic force has been drawing the attention of theoretical physicists following E. Verlinde's work in 2011 to derive Newton's second law and Einstein's field equations of general relativity. In this paper, we extend the idea of entropic force to the distribution of quantum particles. Starting from the definition of Shannon entropy for continuous variables, here we have derived quantum osmotic pressure as well as the consequent entropic forces for bosonic and fermionic particles. The entropic force is computed explicitly for a pair of bosons and fermions. The low temperature limit of this result show that the entropic force for bosons is similar to Hooke's law of elasticity revealing the importance of this idea in the formation of a Bose-Einstein condensate. For fermions, the low temperature limit boils down to the well known Neumann's radial force and also reveals the Pauli's exclusion principle. The classical limit of the entropic force between quantum particles is then discussed. As a further example, the entropic force for quantum particles in noncommutative space is also computed. The result reveals a violation of the Pauli exclusion principle for fermions in noncommutative space.

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