ba0cb61d918221d9829e73d770711b54 entropy_a2020v22n11p1223.pdf b398cec9dbf08e9d418918a495a6459df2852fef entropy_a2020v22n11p1223.pdf c929d9ad839c864fd3ec24c59c0305a88890c008e9b9271912d3f0e98fcce2c9 entropy_a2020v22n11p1223.pdf Title: Quantum Work Statistics with Initial Coherence Subject: The two-point measurement scheme for computing the thermodynamic work performed on a system requires it to be initially in equilibrium. The Margenau–Hill scheme, among others, extends the previous approach to allow for a non-equilibrium initial state. We establish a quantitative comparison between both schemes in terms of the amount of coherence present in the initial state of the system, as quantified by the l1-coherence measure. We show that the difference between the two first moments of work, the variances of work, and the average entropy production obtained in both schemes can be cast in terms of such initial coherence. Moreover, we prove that the average entropy production can take negative values in the Margenau–Hill framework. Keywords: quantum coherence; quantum thermodynamics; work distribution Author: María García Díaz, Giacomo Guarnieri, and Mauro Paternostro Creator: LaTeX with hyperref package Producer: pdfTeX-1.40.18 CreationDate: Tue Nov 3 10:56:11 2020 CET ModDate: Tue Nov 3 10:59:23 2020 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 16 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 1893535 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- VRETFV+URWPalladioL-Ital Type 1 Custom yes yes no 10 0 OGVYPF+URWPalladioL-Bold Type 1 Custom yes yes no 15 0 NFTWBB+URWPalladioL-Roma Type 1 Custom yes yes no 19 0 WFMTKF+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 28 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes no 43 0 MCBCCM+SourceSansRoman.613wght Type 1C Custom yes yes no 47 0 MCBCCO+SourceSansRoman-Bold Type 1C Custom yes yes no 51 0 HCMQYY+CMEX10 Type 1 Builtin yes yes no 58 0 XNGTAR+PazoMath-Italic Type 1 Builtin yes yes no 62 0 SOSTRQ+CMR10 Type 1 Builtin yes yes no 66 0 WJMGTR+CMSY10 Type 1 Builtin yes yes no 70 0 ZFZLOO+PazoMath Type 1 Builtin yes yes no 74 0 XNNWCZ+dsrom10 Type 1 Builtin yes yes no 81 0 VLSUMO+PazoMath-BoldItalic Type 1 Builtin yes yes no 85 0 HYXLVO+URWPalladioL-BoldItal Type 1 Custom yes yes no 89 0 VAXAEC+MSBM10 Type 1 Builtin yes yes no 93 0 UTDEXO+dsrom8 Type 1 Builtin yes yes no 107 0 SYFPBV+CMMI10 Type 1 Builtin yes yes no 160 0 TWTUSV+CMBSY10 Type 1 Builtin yes yes no 186 0 GJUYUR+PazoMath-Bold Type 1 Builtin yes yes no 190 0 WEIJUK+CMSY9 Type 1 Builtin yes yes no 243 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2020-11-18 07:09:45 CET RepresentationInformation: entropy_a2020v22n11p1223.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2020-11-16 11:46:14 CET Size: 1893535 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 440 FreeObjects: 5 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Background Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Children: Item: Title: Quantum Work Statistics Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Item: Title: Coherence Theory Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: Main Results Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Children: Item: Title: Distance between the Averages of Work Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a3d45bd Item: Title: Distance between the Variances of Work Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1e7c7811 Item: Title: Study of the Entropy Production Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77ec78b9 Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1a3869f4 Item: Title: Proof of Theorem 1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@a38d7a3 Item: Title: Proof of Theorem 2 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77f99a05 Item: Title: Derivation of Table 1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@63440df3 Item: Title: Proof of Theorem 3 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@3aeaafa6 Item: Title: Proof of Corollary 2 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@76a3e297 Item: Title: Why Can "426830A "526930B MH Be Negative? Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4d3167f4 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@ed9d034 Info: Title: Quantum Work Statistics with Initial Coherence Author: María García Díaz, Giacomo Guarnieri, and Mauro Paternostro Subject: The two-point measurement scheme for computing the thermodynamic work performed on a system requires it to be initially in equilibrium. The Margenau Hill scheme, among others, extends the previous approach to allow for a non-equilibrium initial state. We establish a quantitative comparison between both schemes in terms of the amount of coherence present in the initial state of the system, as quantified by the l1-coherence measure. We show that the difference between the two first moments of work, the variances of work, and the average entropy production obtained in both schemes can be cast in terms of such initial coherence. Moreover, we prove that the average entropy production can take negative values in the Margenau Hill framework. 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