Uncovering novel states of quantum matter in strongly correlated spin systems unde...
Electronic correlations in quantum materials: inhomogeneities and frustration
SU(2) x SU(2) bi-spinor structure entanglement and additional quantum correlations...
Grant number: | 15/05644-9 |
Support Opportunities: | Scholarships in Brazil - Master |
Start date: | October 01, 2015 |
End date: | 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 |
Host Institution: | Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract 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) | |
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