# Floquet-state cooling

@article{Diermann2019FloquetstateC, title={Floquet-state cooling}, author={Onno R. Diermann and Martin Holthaus}, journal={Scientific Reports}, year={2019}, volume={9} }

We demonstrate that a periodically driven quantum system can adopt a quasistationary state which is effectively much colder than a thermal reservoir it is coupled to, in the sense that certain Floquet states of the driven-dissipative system can carry much higher population than the ground state of the corresponding undriven system in thermal equilibrium. This is made possible by a rich Fourier spectrum of the system’s Floquet transition matrix elements, the components of which are addressed…

## 6 Citations

### Mathieu-state reordering in periodic thermodynamics

- PhysicsZeitschrift für Naturforschung A
- 2021

Abstract A periodically driven, moderately anharmonic oscillator constitutes an ideal model system for investigating quantum resonances, which are amenable to a quantum pendulum approximation. In the…

### Environment-controlled Floquet-state paramagnetism

- Physics
- 2020

We study the response of ideal spin systems which are interacting with both a strong oscillating magnetic field, and a thermal environment, to a weak probing magnetic field. We demonstrate that even…

### Periodic thermodynamics of the parametrically driven harmonic oscillator.

- PhysicsPhysical review. E
- 2019

It is shown that the driven system can effectively be made colder than the undriven one, and it is demonstrated that quasithermal instability can occur even when the system is mechanically stable.

### Periodic thermodynamics of a two spin Rabi model

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2020

We consider two s = 1/2 spins with Heisenberg coupling and a monochromatic, circularly polarized magnetic field acting only onto one of the two spins. This system turns out to be analytically…

### Floquet Solitons and Dynamics of Periodically Driven Matter Waves with Negative Effective Mass

- PhysicsPhysical Review Letters
- 2021

We experimentally study the dynamics of a weakly interacting Bose-Einstein condensate of cesium atoms in a 1D optical lattice with a periodic driving force. The time evolution is analysed after a…

### Defining a well-ordered Floquet basis by the average energy

- Physics
- 2020

At the moment, the most efficient method to compute the state of a periodically driven quantum system is using Floquet theory and the Floquet eigenbasis. The wide application of this basis set method…

## References

SHOWING 1-10 OF 44 REFERENCES

### Generalized Quasi-Energies and Floquet States for a Dissipative System

- Physics
- 1994

Abstract We consider a periodically driven quantum system in interaction with a phonon heat bath, which after a sufficiently long time reaches a "steady-state" periodic with the driving frequency. In…

### Stabilization of prethermal Floquet steady states in a periodically driven dissipative Bose-Hubbard model

- Physics
- 2017

We discuss the effect of dissipation on heating which occurs in periodically driven quantum many body systems. We especially focus on a periodically driven Bose-Hubbard model coupled to an energy and…

### Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths

- Physics
- 2015

External driving is emerging as a promising tool for exploring new phases in quantum systems. The intrinsically non-equilibrium states that result, however, are challenging to describe and control.…

### Steady states of interacting Floquet insulators

- PhysicsPhysical Review B
- 2019

Floquet engineering offers tantalizing opportunities for controlling the dynamics of quantum many-body systems and realizing new nonequilibrium phases of matter. However, this approach faces a major…

### Energy flow in periodic thermodynamics.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

The results suggest possible driving-mediated heating and cooling schemes on the quantum level and indicate that a driven system does not necessarily occupy only a single Floquet state when in contact with a zero-temperature bath.

### Periodic thermodynamics of the parametrically driven harmonic oscillator.

- PhysicsPhysical review. E
- 2019

It is shown that the driven system can effectively be made colder than the undriven one, and it is demonstrated that quasithermal instability can occur even when the system is mechanically stable.

### Quasistationary distributions of dissipative nonlinear quantum oscillators in strong periodic driving fields

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

Investigating the corresponding classical, nonlinear Hamiltonian system, one finds that in the semiclassical range essential features of the quasistationary distribution can be understood from the structure of the underlying classical phase space.

### Occupation of topological Floquet bands in open systems

- Physics
- 2015

Floquet topological insulators are noninteracting quantum systems that, when driven by a time-periodic field, are described by effective Hamiltonians whose bands carry nontrivial topological…

### Nonadiabatic effects in periodically driven dissipative open quantum systems

- Physics
- 2018

We present a general method to calculate the periodic steady state of a driven-dissipative system coupled to a transmission line (and more generally, to a reservoir) under periodic modulation of its…

### Dynamical steady States in driven quantum systems.

- PhysicsPhysical review letters
- 2013

Dynamical equations for a driven, dissipative quantum system in which the environment-induced relaxation rate is comparable to the Rabi frequency are derived, yielding dynamical steady states which account for the interaction between driven quantum dots and their phonon environment.