On the spectrum of three-body states in the one-dimensional harmonic trap
Seminars
Seminar on Few-Body Systems
Date and Time: Tuesday, 25 December 2018, at 11:00 AM
Venue: Conference Hall (2nd floor), Bogoliubov Laboratory of Theoretical Physics
Seminar topic: “On the spectrum of three-body states in the one-dimensional harmonic trap”
Speaker: Anastatsia V. Malykh
Abstract:
The system of three identical particles with contact two-body interactions in the one-dimensional harmonic trap is considered. One of possible applications is an optional study of non-stationary problems, in particular, to elucidate the quasi-integrability of the experiments in the quantum Newton’s cradle set-up [1].
Up to 30 energy levels of even-parity totally symmetric states are calculated as a function of the interaction strength λ. The calculations show that energy levels form a number of bunches, in which they become degenerate for two limiting values of λ = 0 and λ → ∞, where the system is integrable. The wave-function structure is demonstrated by plotting the nodal lines for different levels and interaction strength. The critical values λc are found, for which topological properties of nodal lines change thus indicating the different wave-function structure if λ crosses these values. The prospects for calculation of the highly excited states are discussed.
[1] T. Kinoshita, T. Wenger, and D.S. Weiss, “A quantum Newton’s cradle”, Nature 440,
900 (2006).