Gabriel Fernandez Ferrari, Łukasz Rudnicki, Lucas Chibebe Céleri
{"title":"作为量规理论的量子热力学","authors":"Gabriel Fernandez Ferrari, Łukasz Rudnicki, Lucas Chibebe Céleri","doi":"arxiv-2409.07676","DOIUrl":null,"url":null,"abstract":"Thermodynamics is based on a coarse-grained approach, from which its\nfundamental variables emerge, effectively erasing the complicate details of the\nmicroscopic dynamics within a macroscopic system. The strength of\nThermodynamics lies in the universality provided by this paradigm. In contrast,\nquantum mechanics focuses on describing the dynamics of microscopic systems,\naiming to make predictions about experiments we perform, a goal shared by all\nfundamental physical theories, which are often framed as gauge theories in\nmodern physics. Recently, a gauge theory for quantum thermodynamics was\nintroduced, defining gauge invariant work and heat, and exploring their\nconnections to quantum phenomena. In this work, we extend that theory in two\nsignificant ways. First, we incorporate energy spectrum degeneracies, which\nwere previously overlooked. Additionally, we define gauge-invariant entropy,\nexploring its properties and connections to other physical and informational\nquantities. This results in a complete framework for quantum thermodynamics\ngrounded in the principle of gauge invariance. To demonstrate some implications\nof this theory, we apply it to well-known critical systems.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":"121 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum thermodynamics as a gauge theory\",\"authors\":\"Gabriel Fernandez Ferrari, Łukasz Rudnicki, Lucas Chibebe Céleri\",\"doi\":\"arxiv-2409.07676\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Thermodynamics is based on a coarse-grained approach, from which its\\nfundamental variables emerge, effectively erasing the complicate details of the\\nmicroscopic dynamics within a macroscopic system. The strength of\\nThermodynamics lies in the universality provided by this paradigm. In contrast,\\nquantum mechanics focuses on describing the dynamics of microscopic systems,\\naiming to make predictions about experiments we perform, a goal shared by all\\nfundamental physical theories, which are often framed as gauge theories in\\nmodern physics. Recently, a gauge theory for quantum thermodynamics was\\nintroduced, defining gauge invariant work and heat, and exploring their\\nconnections to quantum phenomena. In this work, we extend that theory in two\\nsignificant ways. First, we incorporate energy spectrum degeneracies, which\\nwere previously overlooked. Additionally, we define gauge-invariant entropy,\\nexploring its properties and connections to other physical and informational\\nquantities. This results in a complete framework for quantum thermodynamics\\ngrounded in the principle of gauge invariance. To demonstrate some implications\\nof this theory, we apply it to well-known critical systems.\",\"PeriodicalId\":501226,\"journal\":{\"name\":\"arXiv - PHYS - Quantum Physics\",\"volume\":\"121 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Quantum Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.07676\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07676","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Thermodynamics is based on a coarse-grained approach, from which its
fundamental variables emerge, effectively erasing the complicate details of the
microscopic dynamics within a macroscopic system. The strength of
Thermodynamics lies in the universality provided by this paradigm. In contrast,
quantum mechanics focuses on describing the dynamics of microscopic systems,
aiming to make predictions about experiments we perform, a goal shared by all
fundamental physical theories, which are often framed as gauge theories in
modern physics. Recently, a gauge theory for quantum thermodynamics was
introduced, defining gauge invariant work and heat, and exploring their
connections to quantum phenomena. In this work, we extend that theory in two
significant ways. First, we incorporate energy spectrum degeneracies, which
were previously overlooked. Additionally, we define gauge-invariant entropy,
exploring its properties and connections to other physical and informational
quantities. This results in a complete framework for quantum thermodynamics
grounded in the principle of gauge invariance. To demonstrate some implications
of this theory, we apply it to well-known critical systems.