# Quantum Ratchets

@article{Grifoni1999QuantumR, title={Quantum Ratchets}, author={M. Grifoni}, journal={Science}, year={1999}, volume={286}, pages={2229 - 2229} }

We investigate quantum Brownian motion in adiabatically rocked ratchet systems. Above a cross temperatureTc tunneling events are rare, yet they already substantially enhance the classical par current. BelowTc, quantum tunneling prevails and the classical predictions grossly underestimate transport. Upon approaching T 0 the quantum current exhibits a tunneling induced reversal, an tends to a finite limit. [S0031-9007(97)03540-0]

## 70 Citations

### Dissipation Enhanced Asymmetric Transport in Quantum Ratchets

- Physics
- 1998

Quantum mechanical motion of a particle in a periodic asymmetric potential is studied theoretically at zero temperature. It is shown based on a semi-classical approximation that the tunneling…

### Hamiltonian Ratchets with Ultra‐Cold Atoms

- Physics
- 2017

Quantum‐resonance ratchets have been realized over the last ten years for the production of directed currents of atoms. These non‐dissipative systems are based on the interaction of a Bose‐Einstein…

### Quantum-Resonance Ratchets: Theory and Experiment

- PhysicsInt. J. Bifurc. Chaos
- 2010

A theory of quantum ratchets for a particle periodically kicked by a general periodic potential under quantum-resonance conditions is developed for arbitrary values of the conserved quasimomentum β and is experimentally realized using a Bose–Einstein condensate exposed to a pulsed standing light wave.

### Fundamental aspects of quantum Brownian motion.

- PhysicsChaos
- 2005

The consequences of the time-reversal symmetry for an open dissipative quantum dynamics and a series of subtleties and possible pitfalls are discussed and the path integral methodology is applied to the decay of metastable states assisted by quantum Brownian noise.

### Quantum suppression of ratchet rectification in a Brownian system driven by a biharmonic force.

- PhysicsThe journal of physical chemistry. B
- 2013

This work rigorously investigates the quantum dissipative dynamics of a ratchet system described by a periodic potential model based on the Caldeira-Leggett Hamiltonian with a biharmonic force using the reduced hierarchy equations of motion in the Wigner space representation to find that at low temperature, while the quantum current is larger than the classical current in the cases of a high barrier, the opposite is true in the case of a low barrier.

### Quantum ratchet in two-dimensional semiconductors with Rashba spin-orbit interaction

- PhysicsScientific reports
- 2015

The scattering quantum ratchet in R2DEG is conceptually simple and is capable of converting a.c. driving force into a rectified current without the need of additional symmetry breaking mechanism or external magnetic field.

### Quantum parameter space of dissipative directed transport.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

This work proves the conjecture that the simple shape of the ISSs has been conjectured to be an almost exclusive feature of the classical system by means of comprehensive numerical explorations and statistical analysis of the quantum states and provides evidence on a mechanism that is called parametric tunneling.

### Monte Carlo study of transport in low-dimensional quantum disorder systems at finite temperature

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

Using the quantum generalized Langevin equation and the path integral Monte Carlo approach, we study the transport dynamics of low-dimensional quantum disorder systems at finite temperature.…

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