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Time-dependent correlations of tensor operators in quantum spin chains

Grant number: 15/05644-9
Support type:Scholarships in Brazil - Master
Effective date (Start): October 01, 2015
Effective date (End): February 28, 2017
Field of knowledge:Physical Sciences and Mathematics - Physics - Condensed Matter Physics
Principal Investigator:Frederico Borges de Brito
Grantee:Matheus de Oliveira Schossler
Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil


Dynamical correlation functions provide direct information about the propagation and decay of excitations in quantum many-body systems. Recent experiments in cold atomic gases and ion traps have fostered a particular interest in the time dependence of correlations, but theoretical results are still rather limited since, unlike equilibrium properties, the problem of dynamics is not well described by low-energy effective theories. In this masters project we propose a theoretical study of time-dependent correlation functions for the two-spin tensor operator in a spin-1/2 chain described by the XY model, which is exactly solvable. The approach will consist of using the Jordan-Wigner transformation to map the spin correlations onto correlations of fermionic operators calculated in a noninteracting ground state. We intend to investigate systematically all the components of the two-spin tensor, both in the cases in which the operators are local in the fermionic basis and in the cases of nonlocal operators that involve strings. (AU)

Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
SCHOSSLER, Matheus de Oliveira. Dynamics of two-spin operators in the XX model. 2017. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Física de São Carlos São Carlos.

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