Fractional photon-assisted tunneling of ultra-cold atoms in periodically shaken double-well lattices

Esmann, Martin; Pritchard, Jonathan D.; Weiß, Christoph

doi:10.1002/lapl.201110109

Cited by 10 publications

(9 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As the ansatz in Eqs. (9) and (10) is not unique, one can also derive effective equations for which J eff becomes complex [15,30,31]. Choosing, e.g., complex phasefactors such that the exponential in the ansatz is 1, i.e.,…”

Section: B Complex J Eff Induced Via Phase-jumpsmentioning

confidence: 99%

“…The effective tunnelling can be both zero and negative. Note that sometimes the physics is described by a zero [5] whereas in other cases the dynamics is governed by the other Bessel functions [15]. Equations ( 14) and (15) yield the effective, time-independent Hamiltonian:…”

Section: Modelmentioning

confidence: 99%

“…For larger interactions, the model (2) has to be modified (cf. [7,15] does not want to change the wave function (cf. [26,27]).…”

Section: Introductionmentioning

confidence: 99%

“…[6,7]) over frustrated classical magnetism [8] to photon-assisted tunnelling [9][10][11] (cf. [12][13][14][15]). Re-search on periodically shaken systems also includes destruction of tunnelling [16][17][18][19], generation of quantum superpositions [20,21], robust dynamical recurrences [22] and reflection-less defects [23].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effective time-reversal via periodic shaking

Weiß

2013

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

For a periodically shaken optical lattice, effective time-reversal is investigated numerically. For interacting ultra-cold atoms, the scheme of [J. Phys. B 45, 021002 (2012)] involves a quasiinstantaneous change of both the shaking-amplitude and the sign of the interaction. As the wave function returns to its initial state with high probability, time-reversal is ideal to distinguish pure quantum dynamics from the dynamics described by statistical mixtures.

show abstract

Section: B Complex J Eff Induced Via Phase-jumpsmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

“…For larger interactions, the model (2) has to be modified (cf. [7,15] does not want to change the wave function (cf. [26,27]).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effective time-reversal via periodic shaking

Weiß

2013

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…However, a shortcoming of the current scheme is that SOC exists in only one spatial direction. This has become one of the bottlenecks for an experimental realization of topological matters in ultracold atoms.Both theoretical and experimental interest in shaken optical lattices have been increasing recently [14][15][16][17][18][19][20]. It has been shown that such a scheme allows one to manipulate both the magnitude and the sign of tunneling constants.…”

mentioning

confidence: 99%

Shaping topological properties of the band structures in a shaken optical lattice

Zhang

Zhou

2014

Phys. Rev. A

View full text Add to dashboard Cite

The realization of band structures with nontrivial topological properties in an optical lattice is an exciting topic in current studies of ultracold atoms. Here we point out that this lofty goal can be achieved by using a simple scheme of shaking an optical lattice, which is directly applicable in current experiments. The photon-assisted band hybridization leads to the production of an effective spin-orbit coupling, in which the band index represents the pseudospin. When this spin-orbit coupling has finite strengths in multiple directions, nontrivial topological structures emerge in the Brillouin zone, such as topological defects with a winding number of 1 or 2 in a shaken square lattice. The shaken lattice also allows one to study the transition between two band structures with distinct topological properties.The study of topological matters has been one of the most important themes in condensed-matter physics over the past few years [1,2]. When nontrivial topology exists in the band structures of certain solid materials, a wide range of topological matters arise. Whereas the effort of searching for such materials in solids has been continuously growing, there has been great interest in realizing topological matters using ultracold atoms [3][4][5][6][7]. In such highly controllable atomic systems, it is easy to manipulate the interaction between atoms and external fields so that topological properties of quantum matters could be engineered using standard experimental techniques. It is hoped that ultracold atoms will provide not only a perfect simulator of electronic systems, but also opportunities to create different types of topological matter with no counterpart in solids.As spin-orbit coupling (SOC) is a key ingredient in many topological matters, the realization of synthetic SOC using the Raman scheme [8-13] opens the door for accessing topological matter in ultracold atoms. However, a shortcoming of the current scheme is that SOC exists in only one spatial direction. This has become one of the bottlenecks for an experimental realization of topological matters in ultracold atoms.Both theoretical and experimental interest in shaken optical lattices have been increasing recently [14][15][16][17][18][19][20]. It has been shown that such a scheme allows one to manipulate both the magnitude and the sign of tunneling constants. In this Rapid Communication we point out that shaken lattices provide physicists an unprecedented opportunity to explore topological matters. We will show that (i) one could use shaken lattices to create a fully controllable SOC with finite strengths along multiple spatial directions, where band indices play the role of the spin degree of freedom, (ii) such an effective SOC allows one to create band structures with nontrivial topological properties using currently available experimental techniques, and (iii) varying these microscopic parameters, including the frequency, amplitude, and phase shift of the shaken lattice, physicists could study the evolution between two band structures with di...

show abstract

Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells

Weiß

2012

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

show abstract

Fractional photon-assisted tunneling of ultra-cold atoms in periodically shaken double-well lattices

Cited by 10 publications

References 53 publications

Effective time-reversal via periodic shaking

Effective time-reversal via periodic shaking

Shaping topological properties of the band structures in a shaken optical lattice

Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells

Contact Info

Product

Resources

About