Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1206.3372 · Journal of Physics Conference Series

Effective time-reversal via periodic shaking

Christoph Weiß

Published Feb 8, 2013• 3 citations
arXivHTMLPDF

Abstract

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 quasi-instantaneous 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.

DOI
10.1088/1742-6596/414/1/012032

Related papers

Time reversal and quantum Loschmidt echo in optical lattices

Nikodem Szpak, Ralf Schützhold

A quantum Loschmidt echo (also referred to as quantum time mirror) corresponds to an effective time inversion after which the quantum wave function reverses its previous time evolution and eventually reaches its initial distribution again. We propose a comparably simple protocol for such an effective time reversal for ultra-cold atoms in optical lattices which should be easier to realize experimentally than previous proposals.

arXiv:1901.05941•Jan 17, 2019•1 citation

Time-reversal operation of tunneling dynamics of Bose-Einstein condensates in optical lattices

Noriaki Tsukada, Hiroyuki Yoshida, Takashi Suzuki

We propose schemes that can perform perfect time-reversal operation of the tunneling dynamics of Bose-Einstein condensates in optical lattices. One of the time-reversal schemes is to reverse the sign of the tunneling coefficient by a time-periodic potential, maintaining its magnitude at a constant value. The other scheme utilizes a staggered $0\text{\ensuremath{-}}\ensuremath{\pi}$ phase imprinting on the optical lattices. If the reversal of the tunneling coefficient or the phase imprinting is performed at $\ensuremath{\tau}={\ensuremath{\tau}}_{p}$, the initial distribution of the condensates is regained at $\ensuremath{\tau}=2{\ensuremath{\tau}}_{p}$. Although the nonlinear interatomic interaction deteriorates the fidelity of the time-reversal operation, if the sign of the nonlinearity is reversed simultaneously with the phase imprinting at $\ensuremath{\tau}={\ensuremath{\tau}}_{p}$, the time-reversal operation at $\ensuremath{\tau}=2{\ensuremath{\tau}}_{p}$ becomes nearly perfect.

Physical Review A•Jul 1, 2008•3 citations

Frustration and time reversal symmetry breaking for a Bose-Fermi mixture

Krzysztof Sacha, Jakub Zakrzewski, Mark Kac

Cold atoms in optical lattices provide a unique medium for mimicking effects known from other areas of physics. This is primarily due to a great flexibility and a precise manipulation of the cold atomic system [1–3]. Atoms of a fermionic or bosonic character may be placed in an optical lattice potential whose geometry may be easily controlled by changing polarizations of laser beams. Interactions between atoms may be controlled via magnetic, optical or microwave Feshbach resonances [4, 5] as well as via changing the depth of the optical lattice. The latter modifies primarily the tunneling between lattice sites, enabling e.g. the superfluid-Mott insulator quantum phase transition in the optical realization of the Bose-Hubbard model as proposed by Jaksch and Zoller [6] and subse

•Dec 5, 2011•0 citations

Cooling by Time Reversal of Atomic Matter Waves

John Martin, Bertrand Georgeot, Dima L. Shepelyansky

We propose an experimental scheme which allows us to realized approximate time reversal of matter waves for ultracold atoms in the regime of quantum chaos. We show that a significant fraction of the atoms return back to their original state, being at the same time cooled down by several orders of magnitude. We give a theoretical description of this effect supported by extensive numerical simulations. The proposed scheme can be implemented with existing experimental setups.

arXiv:0710.4860•Physical Review Letters•Feb 1, 2008•23 citations

Effective theory of interacting fermions in shaken square optical lattices

Ahmet Keleş, Erhai Zhao, W. Vincent Liu

We develop a theory of weakly interacting fermionic atoms in shaken optical lattices based on the orbital mixing in the presence of time-periodic modulations. Specifically, we focus on fermionic atoms in a circularly shaken square lattice with near-resonance frequencies, i.e., tuned close to the energy separation between the $s$ band and the $p$ bands. First, we derive a time-independent four-band effective Hamiltonian in the noninteracting limit. Diagonalization of the effective Hamiltonian yields a quasienergy spectrum consistent with the full numerical Floquet solution that includes all higher bands. In particular, we find that the hybridized $s$ band develops multiple minima and therefore nontrivial Fermi surfaces at different fillings. We then obtain the effective interactions for atoms in the hybridized $s$ band analytically and show that they acquire momentum dependence on the Fermi surface even though the bare interaction is contactlike. We apply the theory to find the phase diagram of fermions with weak attractive interactions and demonstrate that the pairing symmetry is $s+d$ wave. Our theory is valid for a range of shaking frequencies near resonance, and it can be generalized to other phases of interacting fermions in shaken lattices.

arXiv:1703.04074•Physical Review A•Jun 23, 2017•11 citations

Super–Bloch oscillations with modulated interaction

Elena Díaz, Alberto García Mena, Kunihiko Asakura +1 more

We study super--Bloch oscillations of ultracold atoms in a shaken lattice potential, subjected to a harmonically modulated mean-field interaction. Usually, any interaction leads to the decay of the wave packet and its super--Bloch oscillation. Here, we use the phases of interaction and shaking with respect to the free Bloch oscillation as control parameters. We find two types of long-living cases: (i) suppression of the immediate broadening of the wave packet, and (ii) dynamical stability of all degrees of freedom. The latter relies on the rather robust symmetry argument of cyclic time [Gaul et al., Phys. Rev. A 84, 053627 (2011)].

arXiv:1212.1405•Physical Review A•Jan 17, 2013•13 citations
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 quasi-instantaneous 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.
We propose schemes that can perform perfect time-reversal operation of the tunneling dynamics of Bose-Einstein condensates in optical lattices. One of the time-reversal schemes is to reverse the sign of the tunneling coefficient by a time-periodic potential, maintaining its magnitude at a constant value. The other scheme utilizes a staggered $0\text{\ensuremath{-}}\ensuremath{\pi}$ phase imprinting on the optical lattices. If the reversal of the tunneling coefficient or the phase imprinting is performed at $\ensuremath{\tau}={\ensuremath{\tau}}_{p}$, the initial distribution of the condensates is regained at $\ensuremath{\tau}=2{\ensuremath{\tau}}_{p}$. Although the nonlinear interatomic interaction deteriorates the fidelity of the time-reversal operation, if the sign of the nonlinearity is reversed simultaneously with the phase imprinting at $\ensuremath{\tau}={\ensuremath{\tau}}_{p}$, the time-reversal operation at $\ensuremath{\tau}=2{\ensuremath{\tau}}_{p}$ becomes nearly perfect.
Cold atoms in optical lattices provide a unique medium for mimicking effects known from other areas of physics. This is primarily due to a great flexibility and a precise manipulation of the cold atomic system [1–3]. Atoms of a fermionic or bosonic character may be placed in an optical lattice potential whose geometry may be easily controlled by changing polarizations of laser beams. Interactions between atoms may be controlled via magnetic, optical or microwave Feshbach resonances [4, 5] as well as via changing the depth of the optical lattice. The latter modifies primarily the tunneling between lattice sites, enabling e.g. the superfluid-Mott insulator quantum phase transition in the optical realization of the Bose-Hubbard model as proposed by Jaksch and Zoller [6] and subse
We develop a theory of weakly interacting fermionic atoms in shaken optical lattices based on the orbital mixing in the presence of time-periodic modulations. Specifically, we focus on fermionic atoms in a circularly shaken square lattice with near-resonance frequencies, i.e., tuned close to the energy separation between the sss band and the ppp bands. First, we derive a time-independent four-band effective Hamiltonian in the noninteracting limit. Diagonalization of the effective Hamiltonian yields a quasienergy spectrum consistent with the full numerical Floquet solution that includes all higher bands. In particular, we find that the hybridized sss band develops multiple minima and therefore nontrivial Fermi surfaces at different fillings. We then obtain the effective interactions for atoms in the hybridized sss band analytically and show that they acquire momentum dependence on the Fermi surface even though the bare interaction is contactlike. We apply the theory to find the phase diagram of fermions with weak attractive interactions and demonstrate that the pairing symmetry is s+ds+ds+d wave. Our theory is valid for a range of shaking frequencies near resonance, and it can be generalized to other phases of interacting fermions in shaken lattices.
We study super--Bloch oscillations of ultracold atoms in a shaken lattice potential, subjected to a harmonically modulated mean-field interaction. Usually, any interaction leads to the decay of the wave packet and its super--Bloch oscillation. Here, we use the phases of interaction and shaking with respect to the free Bloch oscillation as control parameters. We find two types of long-living cases: (i) suppression of the immediate broadening of the wave packet, and (ii) dynamical stability of all degrees of freedom. The latter relies on the rather robust symmetry argument of cyclic time [Gaul et al., Phys. Rev. A 84, 053627 (2011)].