Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
arXiv:1812.07475 · doi:10.1103/PhysRevA.100.013605
Abstract
The subject of bianyon interference with ultracold atoms is introduced through theoretical investigations pertaining to the second-order momentum correlation maps of two anyons (built upon spinless and spin-1/2 bosonic, as well as spin-1/2 fermionic ultracold atoms) trapped in a double-well optical trap. The two-particle system is modeled according to the recently proposed protocols for emulating an anyonic Hubbard Hamiltonian in ultracold-atom one-dimensional lattices. Because the second-order momentum correlations are mirrored in the time-of-flight second-order interference patterns in space, our findings provide impetus for time-of-flight experimental protocols for detecting anyonic statistics via interferometry measurements of massive particles that broaden the scope of the biphoton interferometry of quantum optics.
Published version. Typos corrected. 10 pages with 3 color figures. For related papers, see http://www.prism.gatech.edu/~ph274cy/
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Cited by in corpus (5)
- Relativistic Anyon Beam: Construction and Properties
- Third-order momentum correlation interferometry maps for entangled quantal states of three singly trapped massive ultracold fermions
- Thermodynamics of Statistical Anyons
- All-order momentum correlations of three ultracold bosonic atoms confined in triple-well traps: Signatures of emergent many-body quantum phase transitions and analogies with three-photon quantum-optics interference
- Chirally-protected state manipulation by tuning one-dimensional statistics