%0 Generic %1 ness2021observing %A Ness, Gal %A Lam, Manolo R. %A Alt, Wolfgang %A Meschede, Dieter %A Sagi, Yoav %A Alberti, Andrea %D 2021 %K ArXiVSession %T Observing quantum-speed-limit crossover with matter wave interferometry %U http://arxiv.org/abs/2104.05638 %X Quantum mechanics sets fundamental limits on how fast quantum states can be transformed in time. Two well-known quantum speed limits are the Mandelstam-Tamm (MT) and the Margolus-Levitin (ML) bounds, which relate the maximum speed of evolution to the system's energy uncertainty and mean energy, respectively. Here, we test concurrently both limits in a multi-level system by following the motion of a single atom in an optical trap using fast matter wave interferometry. Our data reveal two different regimes: one where the MT limit constrains the evolution at all times, and a second where a crossover to the ML limit is manifested at longer times. We take a geometric approach to quantify the deviation from the speed limit, measuring how much the matter wave's quantum evolution deviates from the geodesic path in the Hilbert space of the multi-level system. Our results, establishing quantum speed limits beyond the simple two-level system, are important to understand the ultimate performance of quantum computing devices and related advanced quantum technologies.

@misc{ness2021observing, abstract = {Quantum mechanics sets fundamental limits on how fast quantum states can be transformed in time. Two well-known quantum speed limits are the Mandelstam-Tamm (MT) and the Margolus-Levitin (ML) bounds, which relate the maximum speed of evolution to the system's energy uncertainty and mean energy, respectively. Here, we test concurrently both limits in a multi-level system by following the motion of a single atom in an optical trap using fast matter wave interferometry. Our data reveal two different regimes: one where the MT limit constrains the evolution at all times, and a second where a crossover to the ML limit is manifested at longer times. We take a geometric approach to quantify the deviation from the speed limit, measuring how much the matter wave's quantum evolution deviates from the geodesic path in the Hilbert space of the multi-level system. Our results, establishing quantum speed limits beyond the simple two-level system, are important to understand the ultimate performance of quantum computing devices and related advanced quantum technologies.}, added-at = {2021-04-20T08:23:58.000+0200}, author = {Ness, Gal and Lam, Manolo R. and Alt, Wolfgang and Meschede, Dieter and Sagi, Yoav and Alberti, Andrea}, biburl = {https://www.bibsonomy.org/bibtex/27a4855f251a36ebcf016f2e7f46911f0/michaelwern}, interhash = {82eefcd36fab7d5244e0445326b9b622}, intrahash = {7a4855f251a36ebcf016f2e7f46911f0}, keywords = {ArXiVSession}, note = {cite arxiv:2104.05638Comment: 5 pages, 4 figures, and appendices}, timestamp = {2021-04-20T08:23:58.000+0200}, title = {Observing quantum-speed-limit crossover with matter wave interferometry}, url = {http://arxiv.org/abs/2104.05638}, year = 2021 }