Probing Quantum Speed Limits with Ultracold Gases
Abstract
Here, quantum speed limits (QSLs) rule the minimum time for a quantum state to evolve into a distinguishable state in an arbitrary physical process. These fundamental results constrain a notion of distance traveled by the quantum state, known as the Bures angle, in terms of the speed of evolution set by nonadiabatic energy fluctuations. I theoretically propose how to measure QSLs in an ultracold quantum gas confined in a time-dependent harmonic trap. In this highly-dimensional system of continuous variables, quantum tomography is prohibited. Yet, QSLs can be probed whenever the dynamics is self-similar by measuring as a function of time the cloud size of the ultracold gas. This makes it possible to determine the Bures angle and energy fluctuations, as I discuss for various ultracold atomic systems.
- Authors:
-
[1]
- Univ. of Luxembourg, Esch-sur-Alzette, (Luxembourg); Donostia International Physics Center, San Sebastián (Spain); Basque Foundation of Science, Bilbao (Spain); ; Univ. of Massachusetts, Boston, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); Spanish Ministry of Science and Innovation
- OSTI Identifier:
- 1859887
- Report Number(s):
- LA-UR-20-25695
Journal ID: ISSN 0031-9007; TRN: US2305175
- Grant/Contract Number:
- 89233218CNA000001; PID2019-109007GA-I00
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 126; Journal Issue: 18; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum control; quantum theory; quantum parameter estimation; quantum quench; quantum thermodynamics; ultracold gases
Citation Formats
del Campo, Adolfo. Probing Quantum Speed Limits with Ultracold Gases. United States: N. p., 2021.
Web. doi:10.1103/physrevlett.126.180603.
del Campo, Adolfo. Probing Quantum Speed Limits with Ultracold Gases. United States. https://doi.org/10.1103/physrevlett.126.180603
del Campo, Adolfo. Fri .
"Probing Quantum Speed Limits with Ultracold Gases". United States. https://doi.org/10.1103/physrevlett.126.180603. https://www.osti.gov/servlets/purl/1859887.
@article{osti_1859887,
title = {Probing Quantum Speed Limits with Ultracold Gases},
author = {del Campo, Adolfo},
abstractNote = {Here, quantum speed limits (QSLs) rule the minimum time for a quantum state to evolve into a distinguishable state in an arbitrary physical process. These fundamental results constrain a notion of distance traveled by the quantum state, known as the Bures angle, in terms of the speed of evolution set by nonadiabatic energy fluctuations. I theoretically propose how to measure QSLs in an ultracold quantum gas confined in a time-dependent harmonic trap. In this highly-dimensional system of continuous variables, quantum tomography is prohibited. Yet, QSLs can be probed whenever the dynamics is self-similar by measuring as a function of time the cloud size of the ultracold gas. This makes it possible to determine the Bures angle and energy fluctuations, as I discuss for various ultracold atomic systems.},
doi = {10.1103/physrevlett.126.180603},
journal = {Physical Review Letters},
number = 18,
volume = 126,
place = {United States},
year = {Fri May 07 00:00:00 EDT 2021},
month = {Fri May 07 00:00:00 EDT 2021}
}
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