The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems: Semiclassical Analysis

Y. Shi; S. Greenfield; J. K. Eastman; A. R. R. Carvalho; A. K. Pattanayak

doi:10.48550/arXiv.1808.09593

The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems: Semiclassical Analysis

Y. Shi, S. Greenfield, J. K. Eastman, A. R. R. Carvalho, A. K. Pattanayak^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Citations (Scopus)

Abstract

Measurement choices in weakly-measured open quantum systems can affect quantum trajectory chaos. We consider this scenario semi-classically and show that measurement acts as nonlinear generalized fluctuation and dissipation forces. These can alter effective dissipation in the quantum spread variables and hence change the dynamics, such that measurement choices can enhance quantum effects and make the dynamics chaotic, for example. This analysis explains the measurement dependence of quantum chaos at a variety of parameter settings, and in particular we demonstrate that the choice of monitoring scheme can be more relevant than system scale β in determining the ‘quantumness’ of the system.

Original language	English
Title of host publication	Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics
Editors	Visarath In, Patrick Longhini, Antonio Palacios
Place of Publication	Cham
Publisher	Springer
Chapter	9
Pages	72-83
ISBN (Electronic)	978-3-030-10892-2
ISBN (Print)	978-3-030-10891-5
DOIs	https://doi.org/10.48550/arXiv.1808.09593 https://doi.org/10.1007/978-3-030-10892-2_9
Publication status	Published - 17 Apr 2019

Publication series

Name	Understanding Complex Systems
ISSN (Print)	1860-0832
ISSN (Electronic)	1860-0840

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Shi, Y., Greenfield, S., Eastman, J. K., Carvalho, A. R. R., & Pattanayak, A. K. (2019). The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems: Semiclassical Analysis. In V. In, P. Longhini, & A. Palacios (Eds.), Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics (pp. 72-83). (Understanding Complex Systems). Springer. https://doi.org/10.48550/arXiv.1808.09593, https://doi.org/10.1007/978-3-030-10892-2_9

Shi, Y. ; Greenfield, S. ; Eastman, J. K. et al. / The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems : Semiclassical Analysis. Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics. editor / Visarath In ; Patrick Longhini ; Antonio Palacios. Cham : Springer, 2019. pp. 72-83 (Understanding Complex Systems).

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abstract = "Measurement choices in weakly-measured open quantum systems can affect quantum trajectory chaos. We consider this scenario semi-classically and show that measurement acts as nonlinear generalized fluctuation and dissipation forces. These can alter effective dissipation in the quantum spread variables and hence change the dynamics, such that measurement choices can enhance quantum effects and make the dynamics chaotic, for example. This analysis explains the measurement dependence of quantum chaos at a variety of parameter settings, and in particular we demonstrate that the choice of monitoring scheme can be more relevant than system scale β in determining the {\textquoteleft}quantumness{\textquoteright} of the system.",

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Shi, Y, Greenfield, S, Eastman, JK, Carvalho, ARR & Pattanayak, AK 2019, The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems: Semiclassical Analysis. in V In, P Longhini & A Palacios (eds), Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics. Understanding Complex Systems, Springer, Cham, pp. 72-83. https://doi.org/10.48550/arXiv.1808.09593, https://doi.org/10.1007/978-3-030-10892-2_9

The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems: Semiclassical Analysis. / Shi, Y.; Greenfield, S.; Eastman, J. K. et al.
Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics. ed. / Visarath In; Patrick Longhini; Antonio Palacios. Cham: Springer, 2019. p. 72-83 (Understanding Complex Systems).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Carvalho, A. R. R.

AU - Pattanayak, A. K.

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AB - Measurement choices in weakly-measured open quantum systems can affect quantum trajectory chaos. We consider this scenario semi-classically and show that measurement acts as nonlinear generalized fluctuation and dissipation forces. These can alter effective dissipation in the quantum spread variables and hence change the dynamics, such that measurement choices can enhance quantum effects and make the dynamics chaotic, for example. This analysis explains the measurement dependence of quantum chaos at a variety of parameter settings, and in particular we demonstrate that the choice of monitoring scheme can be more relevant than system scale β in determining the ‘quantumness’ of the system.

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Shi Y, Greenfield S, Eastman JK, Carvalho ARR, Pattanayak AK. The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems: Semiclassical Analysis. In In V, Longhini P, Palacios A, editors, Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics. Cham: Springer. 2019. p. 72-83. (Understanding Complex Systems). doi: 10.48550/arXiv.1808.09593, 10.1007/978-3-030-10892-2_9

The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems: Semiclassical Analysis

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