b2c97b1e86abb573403360cbde322c5f Ent_a2021v23n11p1506.pdf cfbc40f09cde2dbfd0789076e03c275987e019c5 Ent_a2021v23n11p1506.pdf 9dd4652f49b1b114fcb7d39d82ec24a97a415d4a9b871df5fb0242f4a3318c3d Ent_a2021v23n11p1506.pdf Title: Thermality versus Objectivity: Can They Peacefully Coexist? Subject: Under the influence of external environments, quantum systems can undergo various different processes, including decoherence and equilibration. We observe that macroscopic objects are both objective and thermal, thus leading to the expectation that both objectivity and thermalisation can peacefully coexist on the quantum regime too. Crucially, however, objectivity relies on distributed classical information that could conflict with thermalisation. Here, we examine the overlap between thermal and objective states. We find that in general, one cannot exist when the other is present. However, there are certain regimes where thermality and objectivity are more likely to coexist: in the high temperature limit, at the non-degenerate low temperature limit, and when the environment is large. This is consistent with our experiences that everyday-sized objects can be both thermal and objective. Keywords: Quantum Darwinism; objectivity; thermalisation; open quantum systems Author: Thao P. Le, Andreas Winter and Gerardo Adesso Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Tue Nov 16 12:04:12 2021 CET ModDate: Tue Nov 16 12:09:50 2021 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 20 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 708487 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- KRUUNG+URWPalladioL-Ital Type 1 Custom yes yes no 10 0 AUUKST+URWPalladioL-Bold Type 1 Custom yes yes no 15 0 RRDOQZ+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 50 0 MCBCCM+SourceSansRoman.613wght Type 1C Custom yes yes no 54 0 MCBCCO+SourceSansRoman-Bold Type 1C Custom yes yes no 58 0 JDJKVR+URWPalladioL-BoldItal Type 1 Custom yes yes no 70 0 QDOKAZ+PazoMath-Italic Type 1 Builtin yes yes no 77 0 CJWOBD+CMSY10 Type 1 Builtin yes yes no 81 0 SOSTRQ+CMR10 Type 1 Builtin yes yes no 85 0 QOOELG+CMEX10 Type 1 Builtin yes yes no 89 0 HAYLDO+PazoMath Type 1 Builtin yes yes no 93 0 DURHUM+CMMI10 Type 1 Builtin yes yes no 101 0 TYNMBV+CMSS10 Type 1 Builtin yes yes no 108 0 QYZDNJ+CMSS8 Type 1 Builtin yes yes no 112 0 SOSTRQ+CMR10 Type 1 Custom yes yes no 134 0 DURHUM+CMMI10 Type 1 Custom yes yes no 138 0 WUWDGV+CMMI12 Type 1 Custom yes yes no 142 0 EEICHW+CMR12 Type 1 Custom yes yes no 148 0 SOSTRQ+CMR10 Type 1 Custom yes yes no 160 0 WUWDGV+CMMI12 Type 1 Custom yes yes no 163 0 CSHVCL+CMMI9 Type 1 Custom yes yes no 166 0 EEICHW+CMR12 Type 1 Custom yes yes no 172 0 DURHUM+CMMI10 Type 1 Custom yes yes no 175 0 TZYURE+MSBM10 Type 1 Builtin yes yes no 190 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2023-12-06 02:36:32 CET RepresentationInformation: Ent_a2021v23n11p1506.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2023-12-05 16:32:23 CET Size: 708487 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 421 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: section.1 Item: Title: Objective States Destination: section.2 Item: Title: Thermal States Destination: section.3 Item: Title: Objective States with Thermal System Destination: section.4 Item: Title: Objective States with Thermal System and Thermal Environment Destination: section.5 Children: Item: Title: Equal System and Environment Dimension Destination: subsection.5.1 Children: Item: Title: Approximate Thermal-Objective States Destination: subsubsection.5.1.1 Item: Title: Employing Macrofractions Destination: subsubsection.5.1.2 Item: Title: Environment Dimension Larger than System Dimension Destination: subsection.5.2 Item: Title: Low Temperature and High Temperature Limits Destination: subsection.5.3 Item: Title: Objective States That Are Globally Thermal Destination: section.6 Item: Title: Conclusions Destination: section.7 Item: Title: References Destination: specialtable.caption.5 Info: Title: Thermality versus Objectivity: Can They Peacefully Coexist? Author: Thao P. Le, Andreas Winter and Gerardo Adesso Subject: Under the influence of external environments, quantum systems can undergo various different processes, including decoherence and equilibration. We observe that macroscopic objects are both objective and thermal, thus leading to the expectation that both objectivity and thermalisation can peacefully coexist on the quantum regime too. Crucially, however, objectivity relies on distributed classical information that could conflict with thermalisation. Here, we examine the overlap between thermal and objective states. We find that in general, one cannot exist when the other is present. However, there are certain regimes where thermality and objectivity are more likely to coexist: in the high temperature limit, at the non-degenerate low temperature limit, and when the environment is large. This is consistent with our experiences that everyday-sized objects can be both thermal and objective. 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