Isothermal-sweep theorems for ultracold quantum gases in a canonical ensemble

Iskin, M.

doi:10.1103/physreva.83.033613

Cited by 5 publications

(1 citation statement)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This connects directly to questions of the temperature-dependence of bound fermions in flat-band geometries, which has been recently discussed in the context of topological superconductions [40,65]. Furthermore, for high densities we identify new lattice supersolid phases [66][67][68][69][70][71][72][73][74][75][76], corresponding to the coexistence of a charge-density wave (CDW) and superfluidity, but where there is no single-particle superfluidity, but rather only pair superfluid correlations. Additionally, we offer new perspectives in the ability to prepare and detect these phases, by first proposing an experimental preparation scheme for a pair condensate using adiabatic manipulations of the optical-lattice potential [77,78], which can be achieved in timescales that are reachable in current experiments.…”

Section: Introductionsupporting

confidence: 61%

Enhanced repulsively bound atom pairs in topological optical lattice ladders

Flannigan

Daley

2020

Quantum Sci. Technol.

View full text Add to dashboard Cite

There is a growing interest in using cold-atom systems to explore the effects of strong interactions in topological band structures. Here we investigate interacting bosons in a Cruetz ladder, which is characterised by topological flat energy bands where it has been proposed that interactions can lead to the formation of bound atomic pairs giving rise to pair superfluidity. By investigating realistic experimental implementations, we understand how the lattice topology enhances the properties of bound pairs giving rise to relatively large effective pair-tunnelling in these systems which can lead to robust pair superfluidity, and we find lattice supersolid phases involving only pairs. We identify schemes for preparation of these phases via time-dependent parameter variation and look at ways to detect and characterise these systems in a lattice. This work provides a starting point for investigating the interplay between the effects of topology, interactions and pairing in more general systems, with potential future connections to quantum simulation of topological materials.

show abstract

Section: Introductionsupporting

confidence: 61%

Enhanced repulsively bound atom pairs in topological optical lattice ladders

Flannigan

Daley

2020

Quantum Sci. Technol.

View full text Add to dashboard Cite

show abstract

Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions

2020

View full text Add to dashboard Cite

We present a comprehensive derivation of a set of universal relations for spin-orbit-coupled Fermi gases in three or two dimension, which follow from the short-range behavior of the two-body physics. Besides the adiabatic energy relations, the large-momentum distribution, the grand canonical potential and pressure relation derived in our previous work for three-dimensional systems [Phys. Rev. Lett. 120, 060408 (2018)], we further derive high-frequency tail of the radio-frequency spectroscopy and the short-range behavior of the pair correlation function. In addition, we also extend the derivation to two-dimensional systems with Rashba type of spin-orbit coupling. To simply demonstrate how the spin-orbit-coupling effect modifies the two-body short-range behavior, we solve the twobody problem in the sub-Hilbert space of zero center-of-mass momentum and zero total angular momentum, and perturbatively take the spin-orbit-coupling effect into account at short distance, since the strength of the spin-orbit coupling should be much smaller than the corresponding scale of the finite range of interatomic interactions. The universal asymptotic forms of the two-body wave function at short distance are then derived, which do not depend on the short-range details of interatomic potentials. We find that new scattering parameters need to be introduced because of spin-orbit coupling, besides the traditional s-and p-wave scattering length (volume) and effective ranges. This is a general and unique feature for spin-orbit-coupled systems. We show how these twobody parameters characterize the universal relations in the presence of spin-orbit coupling. This work probably shed light for understanding the profound properties of the many-body quantum systems in the presence of the spin-orbit coupling. *

show abstract

Tunneling dynamics of correlated bosons in a double well potential

Dutta

Barman²,

Siddharth³

et al. 2015

Eur. Phys. J. B

View full text Add to dashboard Cite

Abstract. The quantum dynamics of a few bosons in a double well potential is studied using a Bose Hubbard model. We consider both signs for the on-site interparticle interaction and also investigated the situations where they are large and small. Interesting distinctive features are noted for the tunneling oscillations of these bosons corresponding to the above scenarios. Further, the sensitivity of the particle dynamics to the initial conditions has been studied. It is found that corresponding to an odd number of particles, such as three (or five), an initial condition of having unequal number of particles in the wells has interesting consequences, which is most discernible when the population difference between the wells is unity.

show abstract

Isothermal-sweep theorems for ultracold quantum gases in a canonical ensemble

Cited by 5 publications

References 30 publications

Enhanced repulsively bound atom pairs in topological optical lattice ladders

Enhanced repulsively bound atom pairs in topological optical lattice ladders

Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions

Tunneling dynamics of correlated bosons in a double well potential

Contact Info

Product

Resources

About