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Quantum chaos in interacting Bose-Bose mixtures

by Tran Duong Anh-Tai, Mathias Mikkelsen, Thomas Busch, Thomás Fogarty

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Submission summary

Authors (as registered SciPost users): Thomas Fogarty · Duong Anh-Tai Tran
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-05-30
Date submitted: 2023-05-15 06:36
Submitted by: Tran, Duong Anh-Tai
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Computational
  • Quantum Physics
Approaches: Theoretical, Computational


The appearance of chaotic quantum dynamics significantly depends on the symmetry properties of the system, and in cold atomic systems many of these can be experimentally controlled. In this work, we systematically study the emergence of quantum chaos in a minimal system describing one-dimensional harmonically trapped Bose-Bose mixtures by tuning the particle-particle interactions. Using an advanced exact diagonalization scheme, we examine the transition from integrability to chaos when the inter-component interaction changes from weak to strong. Our study is based on the analysis of the level spacing distribution and the distribution of the matrix elements of observables in terms of the eigenstate thermalization hypothesis and their dynamics. We show that one can obtain strong signatures of chaos by increasing the inter-component interaction strength and breaking the symmetry of intra-component interactions.

List of changes

Changes to the manuscript:

- In second paragraph in Introduction on page 2, we added a new reference about chaos in bosonic mixtures [34].

- In section 3.2.1 on page 8 we added: "We also note that in contrast to interacting two-component systems in free space [60], the trapped system we consider does not contain an integrable point at $g_A = g_B = g_{AB}$ . While the system does possess SU(2) symmetry at this point, there is nothing evident in the energy spacing statistics or the kurtosis that differentiates it from any other point along the diagonal $g_A = g_B$."

- In section 3.2.2 on page 13 we added the sentence: "In addition, we note that the thermalization time of the dynamics shown in Figs. 5 and 6 is approximately two orders of magnitude larger than the two-body collision time [61–63]."

- At the end of Appendix A on page 18 we added the sentence: "Although the idea of employing the energy-truncated Hilbert space and the effective interaction for obtaining the inter-component integrals $W^{AB}_{ijk\ell}$ has also been used in [76], we remark that in our improved Exact Diagonalization scheme, we extend this by utilizing the effective interaction for both intra- and inter-components and take the symmetry of the many-body Fock basis into account."

Published as SciPost Phys. 15, 048 (2023)

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