SciPost Submission Page
Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
by Thomás Fogarty, Lewis Ruks, Jing Li, Thomas Busch
||Theor. & Comp.
We design and explore a shortcut to adiabaticity (STA) for changing the
interaction strength between two ultracold, harmonically trapped bosons.
Starting from initially uncorrelated, non-interacting particles, we assume a
time-dependent tuning of the inter-particle interaction through a Feshbach
resonance, such that the two particles are strongly interacting at the end of
the driving. The efficiency of the STA is then quantified by examining the
thermodynamic properties of the system, such as the irreversible work, which is
related to the out-of-equilibrium excitations in the system. We also quantify
the entanglement of the two-particle state through the von Neumann entropy and
show that the entanglement produced in the STA process matches that of the
desired target state. Given the fundamental nature of the two-atom problem in
ultracold atomic physics, the presented shortcut can be expected to have
significant impact on many processes that rely on inter-particle interactions.
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Author comments upon resubmission
We would like to thank the referees for refereeing our manuscript and their detailed reports, and we are grateful that they find our work both original and significant. We have replied to each point raised by the referees in their reports, and have revised our manuscript based on their suggestions. We believe the updated version of the manuscript has improved clarity and we hope that it is accepted for publication in SciPost.
Thomas Fogarty (On behalf of the authors)
List of changes
- A sentence has been added to the introduction (Page 2) which emphasizes the approximate nature of our approach.
- Figure 1 (page 4) has been modified to include colorbars (panel (a) and (c)) and an extra STA ramp has be added to panel (b). The caption has been updated to reflect these changes.
- The discussion about the choice of reference ramp has been expanded upon (page 5)
- The discussion about the shape of the STA ramps for different ramp times has been significantly revised (end of page 5 and start of page 6) with an explanation for the modulations of the STA for fast ramp times.
- The range of validity of the STA has been added (end of page 6 and beginning of page 7)
- Section 4 "Efficient creation of Entanglement" has been significantly revised and includes a more detailed explanation of the entanglement considered and additional references.
- Figure 3 (page 8) has been updated to include a colorbar for panels (c) and (d). The caption has been modified to reflect this.
- The conclusions have been significantly rewritten to include discussions on the validity of the variational approach and the applicability of our protocol for interaction ramps with different initial states. Additional references have been added for the discussion of scaling the shortcut to larger systems and for applications of our approach to collisional quantum gates.