Driving Interactions Efficiently in a Composite Few-Body System
1
Quantum Systems Unit, Okinawa Institute of Science and Technology Graduate University, Okinawa 904-0495, Japan
2
Instituto de Física Enrique Gaviola, CONICET and Universidad Nacional de Córdoba, Ciudad Universitaria, Córdoba X5016LAE, Argentina
*
Author to whom correspondence should be addressed.
Universe 2019, 5(10), 207; https://doi.org/10.3390/universe5100207
Received: 30 August 2019
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Revised: 27 September 2019
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Accepted: 1 October 2019
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Published: 7 October 2019
(This article belongs to the Special Issue Quantum Dynamics and Applications)
We study how to efficiently control an interacting few-body system consisting of three harmonically trapped bosons. Specifically, we investigate the process of modulating the inter-particle interactions to drive an initially non-interacting state to a strongly interacting one, which is an eigenstate of a chosen Hamiltonian. We also show that for unbalanced subsystems, where one can individually control the different inter- and intra-species interactions, complex dynamics originate when the symmetry of the ground state is broken by phase separation. However, as driving the dynamics too quickly can result in unwanted excitations of the final state, we optimize the driven processes using shortcuts to adiabaticity, which are designed to reduce these excitations at the end of the interaction ramp, ensuring that the target eigenstate is reached.
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Keywords:
shortcuts to adiabaticity; cold atoms; few-body systems
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MDPI and ACS Style
Kahan, A.; Fogarty, T.; Li, J.; Busch, T. Driving Interactions Efficiently in a Composite Few-Body System. Universe 2019, 5, 207. https://doi.org/10.3390/universe5100207
AMA Style
Kahan A, Fogarty T, Li J, Busch T. Driving Interactions Efficiently in a Composite Few-Body System. Universe. 2019; 5(10):207. https://doi.org/10.3390/universe5100207
Chicago/Turabian StyleKahan, Alan, Thomás Fogarty, Jing Li, and Thomas Busch. 2019. "Driving Interactions Efficiently in a Composite Few-Body System" Universe 5, no. 10: 207. https://doi.org/10.3390/universe5100207
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