Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs

One of the purposes of the information ratchet, which contains a demon system and bits system, is to mediate the thermodynamics, including energy and entropy flux, between a hot and a cold reservoir. Wherein the demon-bits system is generalized into the quantum regime, therefore demonstrating intere...

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Main Author: Yang, Guangzhao
Other Authors: Chew Lock Yue
Format: Final Year Project
Language:English
Published: Nanyang Technological University 2024
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Online Access:https://hdl.handle.net/10356/175665
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spelling sg-ntu-dr.10356-1756652024-05-06T15:37:29Z Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs Yang, Guangzhao Chew Lock Yue School of Physical and Mathematical Sciences lockyue@ntu.edu.sg Physics Quantum Markovian master equation Quantum thermodynamics Squeezed reservoirs Interacting information ratchet One of the purposes of the information ratchet, which contains a demon system and bits system, is to mediate the thermodynamics, including energy and entropy flux, between a hot and a cold reservoir. Wherein the demon-bits system is generalized into the quantum regime, therefore demonstrating interesting quantum thermodynamical properties by using the phenomelogical GKSL master equation for the Markovian process. Due to the lack of investigation into the quantum-interacting demon-bits system, reservoirs beyond thermal, and their connection with physical systems, the perturbative Markovian master equation that is obtained by taking the Markovian limit of the exact master equation from the first principles of quantum mechanics is used to formally treat the quantum Markovian dynamics and thermodynamical properties, including energy and entropy flux, with a specific model of the demon-bits system and their interaction with more general reservoirs. We consider a demon-single-bit quantum Heisenberg model interaction that is constructed through electric dipoles and interacts with squeezed thermal reservoirs through a dipole-radiation interaction. Specific models of the dipoles, including identical and nonidentical dipoles, are used to solve the stationary behavior of energy and entropy flux according to the perturbative Markovian master equation analytically with the proper conditions that ensure complete positive trace-preservation and monotonic decreasing of relative entropy. It is shown that the quantum interaction and squeezed thermal reservoirs exhibit complicated influences on the thermodynamics, wherein we show that the squeezing parameters influence the thermodynamics independently from the thermal temperatures, and at a specific amplitude of squeezing, the thermal difference is overcome and therefore reverse the flux (cold to hot through the system); the Heisenberg model interaction of the system renders the system demonstrating significant effects on the thermodynamics, including the initial-state-dependent flux and degeneracy as perfect thermal insulators. Through the formal treatment of quantum systems and reservoirs, we see that the interacting demon-bit system and the squeezing degree-of-freedom in reservoirs affect the thermodynamics significantly. We believe the results obtained draw attention to further investigating the properties of interaction and other achievable reservoirs that imply a wider usage of quantum information ratchet. Bachelor's degree 2024-05-03T00:00:03Z 2024-05-03T00:00:03Z 2024 Final Year Project (FYP) Yang, G. (2024). Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/175665 https://hdl.handle.net/10356/175665 en application/pdf Nanyang Technological University
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Physics
Quantum Markovian master equation
Quantum thermodynamics
Squeezed reservoirs
Interacting information ratchet
spellingShingle Physics
Quantum Markovian master equation
Quantum thermodynamics
Squeezed reservoirs
Interacting information ratchet
Yang, Guangzhao
Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs
description One of the purposes of the information ratchet, which contains a demon system and bits system, is to mediate the thermodynamics, including energy and entropy flux, between a hot and a cold reservoir. Wherein the demon-bits system is generalized into the quantum regime, therefore demonstrating interesting quantum thermodynamical properties by using the phenomelogical GKSL master equation for the Markovian process. Due to the lack of investigation into the quantum-interacting demon-bits system, reservoirs beyond thermal, and their connection with physical systems, the perturbative Markovian master equation that is obtained by taking the Markovian limit of the exact master equation from the first principles of quantum mechanics is used to formally treat the quantum Markovian dynamics and thermodynamical properties, including energy and entropy flux, with a specific model of the demon-bits system and their interaction with more general reservoirs. We consider a demon-single-bit quantum Heisenberg model interaction that is constructed through electric dipoles and interacts with squeezed thermal reservoirs through a dipole-radiation interaction. Specific models of the dipoles, including identical and nonidentical dipoles, are used to solve the stationary behavior of energy and entropy flux according to the perturbative Markovian master equation analytically with the proper conditions that ensure complete positive trace-preservation and monotonic decreasing of relative entropy. It is shown that the quantum interaction and squeezed thermal reservoirs exhibit complicated influences on the thermodynamics, wherein we show that the squeezing parameters influence the thermodynamics independently from the thermal temperatures, and at a specific amplitude of squeezing, the thermal difference is overcome and therefore reverse the flux (cold to hot through the system); the Heisenberg model interaction of the system renders the system demonstrating significant effects on the thermodynamics, including the initial-state-dependent flux and degeneracy as perfect thermal insulators. Through the formal treatment of quantum systems and reservoirs, we see that the interacting demon-bit system and the squeezing degree-of-freedom in reservoirs affect the thermodynamics significantly. We believe the results obtained draw attention to further investigating the properties of interaction and other achievable reservoirs that imply a wider usage of quantum information ratchet.
author2 Chew Lock Yue
author_facet Chew Lock Yue
Yang, Guangzhao
format Final Year Project
author Yang, Guangzhao
author_sort Yang, Guangzhao
title Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs
title_short Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs
title_full Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs
title_fullStr Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs
title_full_unstemmed Energy and entropy flux of the quantum Markovian process through an interacting demon-bit system with squeezed thermal reservoirs
title_sort energy and entropy flux of the quantum markovian process through an interacting demon-bit system with squeezed thermal reservoirs
publisher Nanyang Technological University
publishDate 2024
url https://hdl.handle.net/10356/175665
_version_ 1814047056826728448