Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors

Li, Zehan1; Choudhury, Sayan1; Liu, W. Vincent1,2,3,4,5,6

2021-07-06

10.1103/PhysRevA.104.013303

PHYSICAL REVIEW A   影响因子和分区

2469-9926

2469-9934

Spin ensembles coupled to optical cavities provide a powerful platform for engineering synthetic quantum matter. Recently, we demonstrated that cavity-mediated infinite-range interactions can induce fast scrambling in a Heisenberg XXZ spin chain [Phys. Rev. Research 2, 043399 (2020)]. In this paper, 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 density-matrix renormalization group 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.

SCI ; EI

英语

通讯

AFOSR[FA955016-1-0006] ; MURI-ARO through UC Santa Barbara[W911NF17-1-0323] ; Shanghai Municipal Science and Technology Major Project[2019SHZDZX01]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000670696600008

AMER PHYSICAL SOC

20212810608669

Ground state ; Quantum entanglement ; Spin waves ; Statistical mechanics

Magnetism: Basic Concepts and Phenomena:701.2 ; Classical Physics; Quantum Theory; Relativity:931

PHYSICS

Web of Science

1.Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA
2.Shanghai Jiao Tong Univ, Wilczek Quantum Ctr, Sch Phys & Astron, Shanghai 200240, Peoples R China
3.Shanghai Jiao Tong Univ, TD Lee Inst, Shanghai 200240, Peoples R China
4.Shanghai Res Ctr Quantum Sci, Shanghai 201315, Peoples R China
5.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
6.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China

Li, Zehan,Choudhury, Sayan,Liu, W. Vincent. Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors[J]. PHYSICAL REVIEW A,2021,104(1).

Li, Zehan,Choudhury, Sayan,&Liu, W. Vincent.(2021).Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors.PHYSICAL REVIEW A,104(1).

Li, Zehan,et al."Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors".PHYSICAL REVIEW A 104.1(2021).