Transport Properties of Anyonic Josephson Junction
ORAL
Abstract
It has been demonstrated that bosons with density-dependent hopping on a one-dimensional lattice can emulate anyonic particles with fractional exchange statistics [1]. Leveraging this, we construct a Josephson Junction setup, where an insulating barrier in the form of a Mott-insulating phase is sandwiched between two superfluid phases composed of Bose-Einstein Condensates (BECs). This is obtained by spatially varying the exchange phase on which the ground state of the system depends. Utilising numerical methods, we investigate the ground state properties of this system to understand the Josephson effect in a strongly correlated regime.
[1] T. Keilmann, S. Lanzmich, I. McCulloch, and M. Roncaglia, “Statistically induced phase transitions and anyons in 1D optical lattices,” Nat. Commun. 2, 361 (2011).
[2] L. L.H. Lau and S. Dutta, “Quantum walk of two anyons across a statistical boundary,” Phys. Rev.Res. 4, L012007 (2022).
[3] Brollo, A., A. Veronese, and L. Salasnich. "Two-site anyonic Josephson junction." Physical Review A 106.2 (2022): 023308.
[1] T. Keilmann, S. Lanzmich, I. McCulloch, and M. Roncaglia, “Statistically induced phase transitions and anyons in 1D optical lattices,” Nat. Commun. 2, 361 (2011).
[2] L. L.H. Lau and S. Dutta, “Quantum walk of two anyons across a statistical boundary,” Phys. Rev.Res. 4, L012007 (2022).
[3] Brollo, A., A. Veronese, and L. Salasnich. "Two-site anyonic Josephson junction." Physical Review A 106.2 (2022): 023308.
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Presenters
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Jessica John Britto
Indian Institute of Technology Kharagpur
Authors
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Jessica John Britto
Indian Institute of Technology Kharagpur
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Shovan Dutta
Raman Research Institute, Bangalore, India