Diverging Quantum Speed Limits: A Herald of Classicality
Abstract
When is the quantum speed limit (QSL) really quantum? While vanishing QSL times often indicate emergent classical behavior, it is still not entirely understood what precise aspects of classicality are at the origin of this dynamical feature. Here, we show that vanishing QSL times (or, equivalently, diverging quantum speeds) can be traced back to reduced uncertainty in quantum observables and can thus be understood as a consequence of emerging classicality for these particular observables. We illustrate this mechanism by developing a QSL formalism for continuous-variable quantum systems undergoing general Gaussian dynamics. For these systems, we show that three typical scenarios leading to vanishing QSL times, namely large squeezing, small effective Planck’s constant, and large particle number, can be fundamentally connected to each other. In contrast, by studying the dynamics of open quantum systems and mixed states, we show that the classicality that emerges due to incoherent mixing of states from the addition of classical noise typically increases the QSL time.
- Authors:
-
[1];
[2];
[3]
- Univ. of New Mexico, Albuquerque, NM (United States)
- University College Dublin (Ireland)
- Univ. of Maryland Baltimore County (UMBC), Baltimore, MD (United States); Universidade Estadual de Campinas, São Paulo (Brazil)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); National Quantum Information Science (QIS) Research Centers (United States). Quantum Systems Accelerator (QSA)
- Sponsoring Org.:
- USDOE Office of Science (SC); Science Foundation Ireland (SFI); National Science Foundation (NSF)
- OSTI Identifier:
- 1963884
- Grant/Contract Number:
- AC02-05CH11231; 18/SIRG/5508; DMR-2010127
- Resource Type:
- Accepted Manuscript
- Journal Name:
- PRX Quantum
- Additional Journal Information:
- Journal Volume: 2; Journal Issue: 4; Journal ID: ISSN 2691-3399
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Poggi, Pablo M., Campbell, Steve, and Deffner, Sebastian. Diverging Quantum Speed Limits: A Herald of Classicality. United States: N. p., 2021.
Web. doi:10.1103/prxquantum.2.040349.
Poggi, Pablo M., Campbell, Steve, & Deffner, Sebastian. Diverging Quantum Speed Limits: A Herald of Classicality. United States. https://doi.org/10.1103/prxquantum.2.040349
Poggi, Pablo M., Campbell, Steve, and Deffner, Sebastian. Thu .
"Diverging Quantum Speed Limits: A Herald of Classicality". United States. https://doi.org/10.1103/prxquantum.2.040349. https://www.osti.gov/servlets/purl/1963884.
@article{osti_1963884,
title = {Diverging Quantum Speed Limits: A Herald of Classicality},
author = {Poggi, Pablo M. and Campbell, Steve and Deffner, Sebastian},
abstractNote = {When is the quantum speed limit (QSL) really quantum? While vanishing QSL times often indicate emergent classical behavior, it is still not entirely understood what precise aspects of classicality are at the origin of this dynamical feature. Here, we show that vanishing QSL times (or, equivalently, diverging quantum speeds) can be traced back to reduced uncertainty in quantum observables and can thus be understood as a consequence of emerging classicality for these particular observables. We illustrate this mechanism by developing a QSL formalism for continuous-variable quantum systems undergoing general Gaussian dynamics. For these systems, we show that three typical scenarios leading to vanishing QSL times, namely large squeezing, small effective Planck’s constant, and large particle number, can be fundamentally connected to each other. In contrast, by studying the dynamics of open quantum systems and mixed states, we show that the classicality that emerges due to incoherent mixing of states from the addition of classical noise typically increases the QSL time.},
doi = {10.1103/prxquantum.2.040349},
journal = {PRX Quantum},
number = 4,
volume = 2,
place = {United States},
year = {Thu Dec 09 00:00:00 EST 2021},
month = {Thu Dec 09 00:00:00 EST 2021}
}
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FIG. 1: Pure Gaussian states undergoing an infinitesimal evolution in phase space quickly become distinguishable if (a) $\hbar$, taken as a parameter of the state, is reduced, and (b) the squeezing parameter r is increased.
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