期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/aabbe1
关键词
integrable spin chains and vertex models; quantum quenches; quench action
资金
- 'Premium' Postdoctoral Program of the Hungarian Academy of Sciences
- research agency NKFIH [119204, 125567]
- Quantum Technology National Excellence Program [2017-1.2.1-NKP-2017-00001]
- Higher Education Institutional Excellence Program under the thematic program Nanotechnology and Materials Science of the Budapest University of Technology and Economics
We present a conjectured exact formula for overlaps between the Bethe states of the spin-1/2 XXZ chain and generic two-site states. The result takes the same form as in the previously known cases: it involves the same ratio of two Gaudin-like determinants, and a product of single-particle overlap functions, which can be fixed using a combination of the quench action and quantum transfer matrix methods. Our conjecture is confirmed by numerical data from exact diagonalization. For one-site states, the formula is found to be correct even in chains with odd length. It is also pointed out that the ratio of the Gaudin-like determinants plays a crucial role in the overlap sum rule: it guarantees that in the thermodynamic limit there remains no O(1) term in the quench action.
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