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Barros PHM, da Paz IG, Neto OPDS, Costa HAS. Robustness of Wave-Particle Duality under Unruh Effect. ENTROPY (BASEL, SWITZERLAND) 2023; 26:1. [PMID: 38275481 PMCID: PMC10813880 DOI: 10.3390/e26010001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/23/2023] [Revised: 11/23/2023] [Accepted: 12/17/2023] [Indexed: 01/27/2024]
Abstract
By considering a uniformly accelerated two-level system in an initial superposition state of a qubit, we investigate the loss of coherence induced by the acceleration. In addition, we investigate the impact of acceleration on the complementarity relation in a quantum interferometric circuit or quantum scattering circuit. We present an alternative approach to exploring acceleration effects through examination of quantum coherence decay and degradation in the interference pattern. Our investigations help to provide understanding of the consequences of decoherence induced by the Unruh effect on the wave-particle duality of a uniformly accelerated qubit.
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Affiliation(s)
- Pedro H. M. Barros
- Departamento de Física, Universidade Federal do Piauí, Teresina 64049-550, PI, Brazil; (P.H.M.B.); (I.G.d.P.)
| | - Irismar G. da Paz
- Departamento de Física, Universidade Federal do Piauí, Teresina 64049-550, PI, Brazil; (P.H.M.B.); (I.G.d.P.)
| | - Olimpio P. de Sá Neto
- Coordenação de Ciência da Computação, Universidade Estadual do Piauí, Parnaíba 64202-220, PI, Brazil;
| | - Helder A. S. Costa
- Departamento de Física, Universidade Federal do Piauí, Teresina 64049-550, PI, Brazil; (P.H.M.B.); (I.G.d.P.)
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Carballo-Rubio R, Garay LJ, Martín-Martínez E, de Ramón J. Unruh Effect without Thermality. PHYSICAL REVIEW LETTERS 2019; 123:041601. [PMID: 31491253 DOI: 10.1103/physrevlett.123.041601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/01/2018] [Revised: 11/26/2018] [Indexed: 06/10/2023]
Abstract
We show that uniformly accelerated detectors can display genuinely thermal features even if the Kubo-Martin-Schwinger (KMS) condition fails to hold. These features include satisfying thermal detailed balance and having a Planckian response identical to cases in which the KMS condition is satisfied. In this context, we discuss that satisfying the KMS condition for accelerated trajectories is just sufficient but not necessary for the Unruh effect to be present in a given quantum field theory. Furthermore, we extract the necessary and sufficient conditions for the response function of an accelerated detector to be thermal in the infinitely adiabatic limit. This analysis provides new insight about the interplay between the KMS condition and the Unruh effect, and a solid framework in which the robustness of the Unruh effect against deformations of quantum field theories (perhaps Lorentz-violating) can be answered unambiguously.
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Affiliation(s)
- Raúl Carballo-Rubio
- SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy and INFN Sezione di Trieste, Via Valerio 2, 34127 Trieste, Italy
| | - Luis J Garay
- Departamento de Física Teórica and IPARCOS, Universidad Complutense de Madrid, 28040 Madrid, Spain and Instituto de Estructura de la Materia (IEM-CSIC), Serrano 121, 28006 Madrid, Spain
| | - Eduardo Martín-Martínez
- Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada and Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
- Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada
| | - José de Ramón
- Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada and Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
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Martín-Martínez E, Rodriguez-Lopez P. Relativistic quantum optics: The relativistic invariance of the light-matter interaction models. Int J Clin Exp Med 2018. [DOI: 10.1103/physrevd.97.105026] [Citation(s) in RCA: 39] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Martín-Martínez E. Causality issues of particle detector models in QFT and quantum optics. Int J Clin Exp Med 2015. [DOI: 10.1103/physrevd.92.104019] [Citation(s) in RCA: 52] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Wang J, Tian Z, Jing J, Fan H. Quantum metrology and estimation of Unruh effect. Sci Rep 2014; 4:7195. [PMID: 25424772 PMCID: PMC4244622 DOI: 10.1038/srep07195] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/28/2014] [Accepted: 11/04/2014] [Indexed: 11/09/2022] Open
Abstract
We study the quantum metrology for a pair of entangled Unruh-Dewitt detectors when one of them is accelerated and coupled to a massless scalar field. Comparing with previous schemes, our model requires only local interaction and avoids the use of cavities in the probe state preparation process. We show that the probe state preparation and the interaction between the accelerated detector and the external field have significant effects on the value of quantum Fisher information, correspondingly pose variable ultimate limit of precision in the estimation of Unruh effect. We find that the precision of the estimation can be improved by a larger effective coupling strength and a longer interaction time. Alternatively, the energy gap of the detector has a range that can provide us a better precision. Thus we may adjust those parameters and attain a higher precision in the estimation. We also find that an extremely high acceleration is not required in the quantum metrology process.
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Affiliation(s)
- Jieci Wang
- 1] Department of Physics, and Key Laboratory of Low Dimensional, Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan 410081, China [2] Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Zehua Tian
- Department of Physics, and Key Laboratory of Low Dimensional, Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan 410081, China
| | - Jiliang Jing
- Department of Physics, and Key Laboratory of Low Dimensional, Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan 410081, China
| | - Heng Fan
- 1] Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China [2] Collaborative Innovation Center of Quantum Matter, Beijing 100190, China
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Wang J, Jing J, Fan H. Quantum discord and measurement-induced disturbance in the background of dilaton black holes. Int J Clin Exp Med 2014. [DOI: 10.1103/physrevd.90.025032] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Ahmadzadegan A, Martín-Martínez E, Mann RB. Cavities in curved spacetimes: The response of particle detectors. Int J Clin Exp Med 2014. [DOI: 10.1103/physrevd.89.024013] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Brenna WG, Brown EG, Mann RB, Martín-Martínez E. Universality and thermalization in the Unruh effect. Int J Clin Exp Med 2013. [DOI: 10.1103/physrevd.88.064031] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Bruschi DE, Dragan A, Lee AR, Fuentes I, Louko J. Relativistic motion generates quantum gates and entanglement resonances. PHYSICAL REVIEW LETTERS 2013; 111:090504. [PMID: 24033012 DOI: 10.1103/physrevlett.111.090504] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/31/2012] [Indexed: 06/02/2023]
Abstract
We show that the relativistic motion of a quantum system can be used to generate quantum gates. The nonuniform acceleration of a cavity is used to generate well-known two-mode quantum gates in continuous variables. Observable amounts of entanglement between the cavity modes are produced through resonances that appear by repeating periodically any trajectory.
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Affiliation(s)
- David Edward Bruschi
- School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom and School of Electronic and Electrical Engineering, University of Leeds, Leeds LS29JT, United Kingdom
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Brown EG, Martín-Martínez E, Menicucci NC, Mann RB. Detectors for probing relativistic quantum physics beyond perturbation theory. Int J Clin Exp Med 2013. [DOI: 10.1103/physrevd.87.084062] [Citation(s) in RCA: 75] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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