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Non-Hermitian anisotropic XY model with intrinsic rotation-time reversal symmetry

X.Z. Zhang
(
- Nankai U.
)
,
Z. Song
(
- Nankai U.
)

Oct, 2012

7 pages

Published in:

Phys.Rev.A 87 (2013) 1, 012114

Published: Jan 16, 2013

e-Print:

1210.5613 [quant-ph]

DOI:

10.1103/PhysRevA.87.012114

View in:

ADS Abstract Service

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Abstract: (APS)

We systematically study the non-Hermitian version of the one-dimensional anisotropic XY model, which in its original form is a unique, exactly solvable, quantum spin model for understanding the quantum phase transition. The distinguishing features of this model are that it has a full real spectrum if all of the eigenvectors are intrinsic rotation-time-reversal symmetric rather than parity-time-reversal symmetric, and that its Hermitian counterpart is shown approximately to be an experimentally accessible system, i.e., an isotropic XY spin chain with nearest-neighbor coupling. Based on the exact solution, exceptional points which separate the unbroken- and broken-symmetry regions are obtained and lie on a hyperbola in the thermodynamic limit. This provides a nice paradigm to elucidate the complex quantum-mechanics theory for a quantum spin system.

Note:

7 pages, 3 figures

11.30.Er
75.10.Jm
03.65.-w
64.70.Tg

References(46)

Figures(8)

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