Nonlinear speed-ups in ultracold quantum gases
arXiv:2206.13362 · doi:10.1209/0295-5075/ac9fed
Abstract
Quantum mechanics is an inherently linear theory. However, collective effects in many body quantum systems can give rise to effectively nonlinear dynamics. In the present work, we analyze whether and to what extent such nonlinear effects can be exploited to enhance the rate of quantum evolution. To this end, we compute a suitable version of the quantum speed limit for numerical and analytical examples. We find that the quantum speed limit grows with the strength of the nonlinearity, yet it does not trivially scale with the ``degree'' of nonlinearity. This is numerically demonstrated for the parametric harmonic oscillator obeying Gross-Piteavskii and Kolomeisky dynamics, and analytically for expanding boxes under Gross-Pitaevskii dynamics.
7 pages, 5 figures
References in corpus (11)
- Quantum speed limit for physical processes
- Faster than Hermitian Quantum Mechanics
- Environment assisted speed-up of the field evolution in cavity QED
- Quantum speed limits and the maximal rate of information production
- Action quantum speed limits
- From quantum speed limits to energy-efficient quantum gates
- Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
- Geometric quantum speed limits and short-time accessibility to unitary operations
- Interference of Identical Particles and the Quantum Work Distribution
- Fast and robust magnon transport in a spin chain
- Feasibility of single-photon cross-phase modulation using metastable xenon in a high finesse cavity