Studies Using Quantum Master Equation

Ibrahim, Yeshma (2021) Studies Using Quantum Master Equation. Masters thesis, Indian Institute of Science Education and Research Kolkata.

Text (MS Dissertation of Yeshma Ibrahim (16MS123)) 16MS123_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (2MB)

Abstract

Quantum simulation is helpful in studying systems that are otherwise not approachable through direct experiments. It is important to minimise the errors surfacing in such a technique in order to simulate the system of interest with more vigor and accuracy. A particular quantum simulation protocol proposed in D. Ballester et al. Phys. Rev. X 2, 021007 (2012) is studied and the possible errors in its implementation arising from the second order terms of a quantum master equation (frQME) are estimated. In an intermediate time-scale when the system-bath coupling on an interacting spin chain is too slow to influence its relaxation, the system is expected to attain a quasi-steady state. The possibility of a “thermalization” in this quasi-steady state for chains with two and three spins is studied using frQME.

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