# Energy Cascade in Quantum Gases

@article{Ho2016EnergyCI, title={Energy Cascade in Quantum Gases}, author={Tin-Lun Ho and X. Y. Yin}, journal={arXiv: Quantum Gases}, year={2016} }

Energy cascade is ubiquitous in systems far from equilibrium. Facilitated by particle interactions and external forces, it can lead to highly complex phenomena like fully developed turbulence, characterized by power law velocity correlation functions. Yet despite decades of research, how these power laws emerge from first principle remains unclear. Recently, experiments show that when a Bose condensate is subjected to periodic shaking, its momentum distribution exhibits a power law behavior…

## One Citation

Dynamics of small trapped one-dimensional Fermi gas under oscillating magnetic fields

- Physics
- 2016

Deterministic preparation of an ultracold harmonically trapped one-dimensional Fermi gas consisting of a few fermions has been realized by the Heidelberg group. Using Floquet formalism, we study the…

## References

SHOWING 1-10 OF 17 REFERENCES

Emergence of a turbulent cascade in a quantum gas

- Physics, MedicineNature
- 2016

The uniform Bose gas is established as a promising new medium for investigating many aspects of turbulence, including the interplay between vortex and wave turbulence, and the relative importance of quantum and classical effects.

Inverse energy cascade in forced two-dimensional quantum turbulence.

- Physics, MedicinePhysical review letters
- 2013

The results provide clear evidence that the inverse energy cascade phenomenon, previously observed in a diverse range of classical systems, can also occur in quantum fluids.

Quantum turbulence in trapped atomic Bose-Einstein condensates

- Physics
- 2015

Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many physical systems across various disciplines, from tiny laboratory scales to geophysical and…

Second sound and the superfluid fraction in a Fermi gas with resonant interactions

- Physics, MedicineNature
- 2013

The measurements allow us to extract the temperature dependence of the superfluid fraction, a previously inaccessible quantity that will provide a benchmark for theories of strongly interacting quantum gases.

Colloquium: Quantum fluctuation relations: Foundations and applications

- Physics
- 2011

Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the Gibbs…

Quantum turbulence cascades in the Gross-Pitaevskii model

- Physics
- 2009

We present a numerical study of quantum turbulence within the three-dimensional Gross-Pitaevskii equation, concentrating on the direct energy cascade in the case of a forced-dissipated system. We…

Emergence of turbulence in an oscillating bose-einstein condensate.

- Physics, MedicinePhysical review letters
- 2009

It is shown that this turbulent cloud suppresses the aspect ratio inversion typically observed in quantum degenerate bosonic gases during free expansion, and expands keeping the ratio between their axis constant.

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems

- Physics
- 2009

Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the…

High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective

- Physics
- 2015

We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization…

Scenario of strongly nonequilibrated Bose-Einstein condensation

- Physics
- 2002

Russian Research Center ‘‘Kurchatov Institute,’’ 123182 Moscow, Russia~Received 10 July 2001; revised manuscript received 3 December 2001; published 15 July 2002!Large scale numerical simulations of…