Periodic thermodynamics of the parametrically driven harmonic oscillator
We determine the quasistationary distribution of Floquet-state occupation probabilities for a parametrically driven harmonic oscillator coupled to a thermal bath. Since the system exhibits detailed balance, and the canonical representatives of its quasienergies are equidistant, these probabilities a...
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| creator | Diermann, Onno R Frerichs, Helge Holthaus, Martin |
| description | We determine the quasistationary distribution of Floquet-state occupation probabilities for a parametrically driven harmonic oscillator coupled to a thermal bath. Since the system exhibits detailed balance, and the canonical representatives of its quasienergies are equidistant, these probabilities are given by a geometrical Boltzmann distribution, but its quasitemperature differs from the actual temperature of the bath, being affected by the functional form of the latter's spectral density. We provide two examples of quasithermal engineering, i.e., of deliberate manipulation of the quasistationary distribution by suitable design of the spectral density: We show that the driven system can effectively be made colder than the undriven one, and demonstrate that quasithermal instability can occur even when the system is mechanically stable. |
| doi_str_mv | 10.48550/arxiv.1911.12272 |
| format | Article |
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Since the system exhibits detailed balance, and the canonical representatives of its quasienergies are equidistant, these probabilities are given by a geometrical Boltzmann distribution, but its quasitemperature differs from the actual temperature of the bath, being affected by the functional form of the latter's spectral density. We provide two examples of quasithermal engineering, i.e., of deliberate manipulation of the quasistationary distribution by suitable design of the spectral density: We show that the driven system can effectively be made colder than the undriven one, and demonstrate that quasithermal instability can occur even when the system is mechanically stable.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1911.12272</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Boltzmann distribution ; Density ; Harmonic oscillators ; Physics - Quantum Physics ; Physics - Statistical Mechanics ; Thermal baths</subject><ispartof>arXiv.org, 2019-11</ispartof><rights>2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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We provide two examples of quasithermal engineering, i.e., of deliberate manipulation of the quasistationary distribution by suitable design of the spectral density: We show that the driven system can effectively be made colder than the undriven one, and demonstrate that quasithermal instability can occur even when the system is mechanically stable.</description><subject>Boltzmann distribution</subject><subject>Density</subject><subject>Harmonic oscillators</subject><subject>Physics - Quantum Physics</subject><subject>Physics - Statistical Mechanics</subject><subject>Thermal baths</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj8tqwzAQRUWh0JDmA7qqoWu7lmRJnmUJbVMItIvszVgPomBbruyE-u_rPFYDl3Mvcwh5onlWlELkrxj__CmjQGlGGVPsjiwY5zQtC8YeyGoYDnmeM6mYEHxBNj82-mC8Tsa9jW0wU4et10MS3DlJeozY2jF6jU0zJSb6k-2SPc5oN5fCoH3T4BjiI7l32Ax2dbtLsvt436036fb782v9tk1RMEi1LAQv0ZjaCZSuNiWABpQWoJbSSupqxSlaLZwoITdAmdaCSmkQhNKKL8nzdfaiWfXRtxin6qxbXXRn4uVK9DH8Hu0wVodwjN38U8U4Ba4KBsD_AUn5WWQ</recordid><startdate>20191127</startdate><enddate>20191127</enddate><creator>Diermann, Onno R</creator><creator>Frerichs, Helge</creator><creator>Holthaus, Martin</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20191127</creationdate><title>Periodic thermodynamics of the parametrically driven harmonic oscillator</title><author>Diermann, Onno R ; Frerichs, Helge ; Holthaus, Martin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a529-c64538addbf5a6fbd899c9a6e99b66e61fb731aec5f5890d912cc5166da957c73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Boltzmann distribution</topic><topic>Density</topic><topic>Harmonic oscillators</topic><topic>Physics - Quantum Physics</topic><topic>Physics - Statistical Mechanics</topic><topic>Thermal baths</topic><toplevel>online_resources</toplevel><creatorcontrib>Diermann, Onno R</creatorcontrib><creatorcontrib>Frerichs, Helge</creatorcontrib><creatorcontrib>Holthaus, Martin</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Diermann, Onno R</au><au>Frerichs, Helge</au><au>Holthaus, Martin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Periodic thermodynamics of the parametrically driven harmonic oscillator</atitle><jtitle>arXiv.org</jtitle><date>2019-11-27</date><risdate>2019</risdate><eissn>2331-8422</eissn><abstract>We determine the quasistationary distribution of Floquet-state occupation probabilities for a parametrically driven harmonic oscillator coupled to a thermal bath. 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| subjects | Boltzmann distribution Density Harmonic oscillators Physics - Quantum Physics Physics - Statistical Mechanics Thermal baths |
| title | Periodic thermodynamics of the parametrically driven harmonic oscillator |
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