Geometry-Induced Memory Effects in Isolated Quantum Systems: Cold-Atom Applications

@article{Lai2015GeometryInducedME,
  title={Geometry-Induced Memory Effects in Isolated Quantum Systems: Cold-Atom Applications},
  author={Chen-Yen Lai and Chih-Chun Chien},
  journal={Physical review applied},
  year={2015},
  volume={5},
  pages={034001}
}
Author(s): Lai, Chen-Yen; Chien, Chih-Chun | Abstract: Memory effects can lead to history-dependent behavior of a system, and they are ubiquitous in our daily life and have broad applications. Here we explore possibilities of generating memory effects in simple isolated quantum systems. By utilizing geometrical effects from a class of lattices supporting flat-bands consisting of localized states, memory effects could be observed in ultracold atoms in optical lattices. As the optical lattice… 
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References

SHOWING 1-10 OF 57 REFERENCES
Phase-induced transport in atomic gases: From superfluid to Mott insulator
© 2014 American Physical Society. Recent experimental realizations of artificial gauge fields for cold atoms are promising for generating steady states carrying a mass current in strongly correlated
Dynamically generated flat-band phases in optical kagome lattices
Motivated by recent advances in the realization of complex two-dimensional optical lattices, we investigate theoretically the quantum transport of ultracold fermions in an optical kagome lattice. In
Interaction-induced conducting-nonconducting transition of ultra-cold atoms in 1D optical lattices
The study of time-dependent, many-body transport phenomena is increasingly within reach of ultra-cold atom experiments. We show that the introduction of spatially inhomogeneous interactions, e.g.,
Matter-wave propagation in optical lattices: geometrical and flat-band effects
The geometry of optical lattices can be engineered allowing the study of atomic transport along paths arranged in patterns that are otherwise difficult to probe in the solid state. A question readily
Memory effects in complex materials and nanoscale systems
TLDR
The memory properties of various materials and systems which appear most strikingly in their non-trivial, time-dependent resistive, capacitative and inductive characteristics are described within the framework of memristors, memcapacitors and meminductors.
Hysteresis in a quantized superfluid ‘atomtronic’ circuit
TLDR
The results suggest that the relevant excitations involved in hysteresis are vortices, and indicate that dissipation has an important role in the dynamics.
Directed Transport of Atoms in a Hamiltonian Quantum Ratchet
TLDR
The operation of a quantum ratchet is demonstrated, which differs from classical ratchets in that dissipative processes are absent within the observation time of the system (Hamiltonian regime).
Ultracold atoms in a tunable optical kagome lattice.
TLDR
The lattices implemented in this work offer a near-ideal realization of a paradigmatic model of many-body quantum physics, which can serve as a platform for future studies of geometric frustration.
All-Optical Formation of Quantum Degenerate Mixtures
Ultracold atomic gases have provided deep insight intoquantum many-body systems, since the realization of aquantum degenerate gas, such as a Bose-Einstein con-densate (BEC) [1] and a degenerate Fermi
In situ observation of incompressible Mott-insulating domains in ultracold atomic gases
TLDR
Spatially resolved, in-situ imaging of a two-dimensional ultracold atomic gas as it crosses the superfluid to Mott insulator transition provides direct access to individual characteristics of the insulating, superfluid and normal phases, and enables a complete characterization of multiple phases in a strongly correlated Bose gas.
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