Full counting statistics in the spin-1/2 Heisenberg XXZ chain
arXiv:1706.07939 · doi:10.1088/1751-8121/aa87dd
Abstract
The spin-1/2 Heisenberg chain exhibits a quantum critical regime characterized by quasi long-range magnetic order at zero temperature. We quantify the strength of quantum fluctuations in the ground state by determining the probability distributions of the components of the (staggered) subsystem magnetization. Some of these exhibit scaling and the corresponding universal scaling functions can be determined by free fermion methods and by exploiting a relation with the boundary sine-Gordon model.
23 pages, 18 figures
References in corpus (8)
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- The iTEBD algorithm beyond unitary evolution
- The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
- Quantum Noise Analysis of Spin Systems Realized with Cold Atoms
- Order parameter statistics in the critical quantum Ising chain
- Full counting statistics in the Haldane-Shastry chain
- Mapping of Coulomb gases and sine-Gordon models to statistics of random surfaces
- String correlation functions of the spin-1/2 Heisenberg XXZ chain
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- Exact large-scale fluctuations of the phase field in the sine-Gordon model
- Full Counting Statistics of Charge in Quenched Quantum Gases
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- Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
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