Bulletin of the American Physical Society
52nd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 66, Number 6
Monday–Friday, May 31–June 4 2021; Virtual; Time Zone: Central Daylight Time, USA
Session K06: Quantum Phases in Optical Lattices I
10:30 AM–12:18 PM,
Wednesday, June 2, 2021
Chair: Peter Schauss, Virginia
Abstract: K06.00002 : Long Range Ordered Phase in a Quantum Heisenberg Chain with Interactions beyond Nearest Neighbor*
10:42 AM–10:54 AM
Live
Presenter:
Sayan Choudhury
(University of Pittsburgh)
Authors:
Sayan Choudhury
(University of Pittsburgh)
Zehan Li
(University of Pittsburgh)
W.Vincent Liu
(University of Pittsburgh)
mediated infinite range interactions can induce fast scrambling in a Heisenberg $XXZ$ spin chain (Phys. Rev. Research {\bf 2}, 043399 (2020)). In this work, we analyze the kaleidoscope of quantum phases that emerge in this system from the interplay of these interactions. Employing both analytical spin-wave theory as
well as numerical DMRG calculations, we find that there is a large parameter regime where the continuous $U(1)$ symmetry of this model is spontaneously
broken and the ground state of the system exhibits $XY$ order. This kind of symmetry breaking and the consequent long range order is forbidden for short
range interacting systems by the Mermin-Wagner theorem. Intriguingly, we find that the $XY$ order can be induced by even an infinitesimally weak infinite
range interaction. Furthermore, we demonstrate that in the $U(1)$ symmetry broken phase, the half chain entanglement entropy violates the area law
logarithmically. Finally, we discuss a proposal to verify our predictions in state-of-the-art quantum emulators.
*AFOSR Grant No.FA9550-16-1-0006,MURI-ARO Grant No.W911NF17-1-0323 through UC Santa Barbara,Shanghai Municipal Science and Technology MajorProject (Grant No. 2019SHZDZX01),
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