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Published on: March 30, 2017
Ultracold bosons in a tilted multilevel double-well potential
D R Dounas-Frazer1, A M Hermundstad, L D Carr
1Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA.
Creating macroscopic quantum superposition in ultracold atoms requires more than just the ground state. Two energy levels are often necessary, but a small tilt can destroy these states, though interactions can partially restore them.
Area of Science:
- Quantum physics
- Atomic physics
- Many-body systems
Background:
- Macroscopic quantum superposition is crucial for ultracold atom experiments.
- The standard approach often relies on single-particle ground states within potential wells.
- The N-body problem in tilted double wells presents unique challenges.
Purpose of the Study:
- To determine the conditions under which multiple energy levels are necessary for describing quantum states in a tilted double-well potential.
- To investigate the feasibility of creating macroscopic superposition states in such systems.
- To analyze the impact of external tilts and atom-atom interactions on these superposition states.
Main Methods:
- Theoretical analysis of the N-body problem within a tilted double-well potential.
- Derivation of criteria for the number of energy levels required to characterize the system's state space.
- Simulation of ultracold atom behavior under varying tilt angles and interaction strengths.
Main Results:
- Explicit criteria are provided for when two energy levels are essential for state description.
- For typical experimental parameters, two energy levels are indeed required for macroscopic superposition.
- A small external tilt leads to the collapse of these macroscopic superposition states.
- Partial recovery of macroscopic superposition states is observed when atom-atom interactions compensate for the tilt.
Conclusions:
- The creation of macroscopic quantum superposition in tilted double wells necessitates a departure from single-level approximations.
- System parameters and external fields critically influence the stability of superposition states.
- Atom-atom interactions offer a potential mechanism to stabilize superposition states against external perturbations.
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