Quantum Parameter Space of Dissipative Directed Transport
arXiv:1410.3430 · doi:10.1103/PhysRevE.91.010903
Abstract
Quantum manifestations of isoperiodic stable structures (QISSs) have a crucial role in the current behavior of quantum dissipative ratchets. In this context, the simple shape of the ISSs has been conjectured to be an almost exclusive feature of the classical system. This has drastic consequences for many properties of the directed currents, the most important one being that it imposes a significant reduction in their maximum values, thus affecting the attainable efficiency at the quantum level. In this work we prove this conjecture by means of comprehensive numerical explorations and statistical analysis of the quantum states. We are able to describe the quantum parameter space of a paradigmatic system for different values of in great detail. Moreover, thanks to this we provide evidence on a mechanism that we call parametric tunneling by which the sharp classical borders of the regions in parameter space become blurred in the quantum counterpart. We expect this to be a common property of generic dissipative quantum systems.
4 pages, 4 figures
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Cited by in corpus (8)
- Spectroscopy and Directed Transport of Topological Solitons in Crystals of Trapped Ions
- Correspondence behavior of classical and quantum dissipative directed transport via thermal noise
- Quantum Lyapunov exponent in dissipative systems
- Classical counterparts of quantum attractors in generic dissipative systems
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- Chaos simplifies quantum friction
- 3D classical and quantum stable structures of dissipative systems
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