Superpositions of thermalisations in relativistic quantum field theory

Recent results in relativistic quantum information and quantum thermodynamics have independently shown that in the quantum regime, a system may fail to thermalise when subject to quantum-controlled application of the same, single thermalisation channel. For example, an accelerating system with fixed...

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Main Authors: Joshua Foo, Magdalena Zych
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-02-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2025-02-11-1629/pdf/
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author Joshua Foo
Magdalena Zych
author_facet Joshua Foo
Magdalena Zych
author_sort Joshua Foo
collection DOAJ
description Recent results in relativistic quantum information and quantum thermodynamics have independently shown that in the quantum regime, a system may fail to thermalise when subject to quantum-controlled application of the same, single thermalisation channel. For example, an accelerating system with fixed proper acceleration is known to thermalise to an acceleration-dependent temperature, known as the Unruh temperature. However, the same system in a superposition of spatially translated trajectories that share the same proper acceleration fails to thermalise. Here, we provide an explanation of these results using the framework of quantum field theory in relativistic noninertial reference frames. We show how a probe that accelerates in a superposition of spatial translations interacts with incommensurate sets of field modes. In special cases where the modes are orthogonal (for example, when the Rindler wedges are translated in a direction orthogonal to the plane of motion), thermalisation does indeed result, corroborating the here provided explanation. We then discuss how this description relates to an information-theoretic approach aimed at studying quantum aspects of temperature through quantum-controlled thermalisations. The present work draws a connection between research in quantum information, relativistic physics, and quantum thermodynamics, in particular showing that relativistic quantum effects can provide a natural realisation of quantum thermodynamical scenarios.
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publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
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spelling doaj-art-0d6adaa1db3f45bd99fc24a1de3371532025-02-11T16:45:14ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-02-019162910.22331/q-2025-02-11-162910.22331/q-2025-02-11-1629Superpositions of thermalisations in relativistic quantum field theoryJoshua FooMagdalena ZychRecent results in relativistic quantum information and quantum thermodynamics have independently shown that in the quantum regime, a system may fail to thermalise when subject to quantum-controlled application of the same, single thermalisation channel. For example, an accelerating system with fixed proper acceleration is known to thermalise to an acceleration-dependent temperature, known as the Unruh temperature. However, the same system in a superposition of spatially translated trajectories that share the same proper acceleration fails to thermalise. Here, we provide an explanation of these results using the framework of quantum field theory in relativistic noninertial reference frames. We show how a probe that accelerates in a superposition of spatial translations interacts with incommensurate sets of field modes. In special cases where the modes are orthogonal (for example, when the Rindler wedges are translated in a direction orthogonal to the plane of motion), thermalisation does indeed result, corroborating the here provided explanation. We then discuss how this description relates to an information-theoretic approach aimed at studying quantum aspects of temperature through quantum-controlled thermalisations. The present work draws a connection between research in quantum information, relativistic physics, and quantum thermodynamics, in particular showing that relativistic quantum effects can provide a natural realisation of quantum thermodynamical scenarios.https://quantum-journal.org/papers/q-2025-02-11-1629/pdf/
spellingShingle Joshua Foo
Magdalena Zych
Superpositions of thermalisations in relativistic quantum field theory
Quantum
title Superpositions of thermalisations in relativistic quantum field theory
title_full Superpositions of thermalisations in relativistic quantum field theory
title_fullStr Superpositions of thermalisations in relativistic quantum field theory
title_full_unstemmed Superpositions of thermalisations in relativistic quantum field theory
title_short Superpositions of thermalisations in relativistic quantum field theory
title_sort superpositions of thermalisations in relativistic quantum field theory
url https://quantum-journal.org/papers/q-2025-02-11-1629/pdf/
work_keys_str_mv AT joshuafoo superpositionsofthermalisationsinrelativisticquantumfieldtheory
AT magdalenazych superpositionsofthermalisationsinrelativisticquantumfieldtheory