Anderson localization of a Rydberg electron along a classical orbit
arXiv:1703.08339 · doi:10.1103/PhysRevA.95.063402
Abstract
Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum suppression of classical diffusion in systems that are classically chaotic. Another kind of Anderson localization has been recently proposed, i.e. localization in the time domain due to the presence of {\it disorder} in time. That is, the probability density for the detection of a system at a fixed position in the configuration space is localized exponentially around a certain moment of time if a system is driven by a force that fluctuates in time. We show that an electron in a Rydberg atom, perturbed by a fluctuating microwave field, Anderson localizes along a classical periodic orbit. In other words the probability density for the detection of an electron at a fixed position on an orbit is exponentially localized around a certain time moment. This phenomenon can be experimentally observed.
version accepted for publication in Phys. Rev. A
References in corpus (4)
- Absence of Quantum Time Crystals
- Comment on "Quantum Time Crystals": a new paradigm or just another proposal of perpetuum mobile?
- Anderson localization and Mott insulator phase in the time domain
- Rotating Casimir systems: magnetic-field-enhanced perpetual motion, possible realization in doped nanotubes, and laws of thermodynamics
Cited by in corpus (20)
- Time crystals: a review
- Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
- Time crystals: analysis of experimental conditions
- Dynamical quantum phase transitions in discrete time crystals
- Condensed Matter Physics in Time Crystals
- Topological Time Crystals
- Fractional Time Crystals
- Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
- Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
- Discrete time crystals in many-body quantum chaos
- Lack of a genuine time crystal in a chiral soliton model
- Topological and dynamical features of periodically driven spin ladders
- Nonlocal discrete time crystals in periodically driven surface codes
- Anderson Molecules
- Topologically protected quantized changes of the distance between atoms
- Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
- Condensed matter physics in big discrete time crystals
- Characterizing the transition from topology to chaos in a kicked quantum system
- Topological Molecules and Topological Localization of a Rydberg Electron on a Classical Orbit
- Quantum repetition codes as building blocks of large period discrete time crystals