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Probing Quantum Speed Limits with Ultracold Gases.

Adolfo Del Campo1

  • 1Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg; Donostia International Physics Center, E-20018 San Sebastián, Spain; IKERBASQUE, Basque Foundation for Science, E-48013 Bilbao, Spain; Department of Physics, University of Massachusetts, Boston, Massachusetts 02125, USA and Theory Division, Los Alamos National Laboratory, MS-B213, Los Alamos, New Mexico 87545, USA.

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This study proposes measuring quantum speed limits (QSLs) in ultracold quantum gases. By tracking cloud size in a time-dependent trap, researchers can determine the Bures angle and energy fluctuations.

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Area of Science:

  • Quantum physics
  • Atomic physics
  • Quantum information

Background:

  • Quantum speed limits (QSLs) define the minimum time for quantum state evolution.
  • These limits relate the Bures angle (a measure of distinguishability) to energy fluctuations.
  • Measuring QSLs is crucial for understanding fundamental quantum dynamics.

Purpose of the Study:

  • To theoretically propose a method for measuring QSLs in ultracold quantum gases.
  • To address the challenge of measuring QSLs in high-dimensional, continuous variable systems where quantum tomography is not feasible.
  • To provide a practical approach for probing fundamental quantum dynamics in specific experimental settings.

Main Methods:

  • Theoretical proposal for measuring QSLs in ultracold quantum gases confined in time-dependent harmonic traps.
  • Utilizing self-similar dynamics to enable QSL measurement.
  • Measuring the time-dependent cloud size of the ultracold gas as a proxy for quantum state evolution.

Main Results:

  • Demonstrated that QSLs can be measured in ultracold quantum gases without quantum tomography.
  • Established a method to determine the Bures angle and energy fluctuations by monitoring the gas cloud size.
  • The proposed method is applicable to various ultracold atomic systems.

Conclusions:

  • The study presents a feasible method for experimentally measuring quantum speed limits in complex quantum systems.
  • This work bridges theoretical concepts of QSLs with practical measurements in ultracold atomic gases.
  • The findings offer new avenues for exploring fundamental quantum dynamics and constraints.