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Published on: June 14, 2016
Probing the Full Distribution of Many-Body Observables By Single-Qubit Interferometry
Zhenyu Xu1,2, Adolfo Del Campo2,3,4,5
1School of Physical Science and Technology, Soochow University, Suzhou 215006, China.
Abstract:
We present an experimental scheme to measure the full distribution of many-body observables in spin systems, both in and out of equilibrium, using an auxiliary qubit as a probe. We focus on the determination of the magnetization and the kink number statistics at thermal equilibrium. The corresponding characteristic functions are related to the analytically continued partition function. Thus, both distributions can be directly extracted from experimental measurements of the coherence of a probe qubit that is coupled to an Ising-type bath, as reported in [X. Peng et al., Phys. Rev. Lett. 114, 010601 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.010601] for the detection of Lee-Yang zeros.
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