Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 3

Resonance

article

Anantha Hegde¹  Adarsh Kumar¹  Adhip Agarwala²  Bhaskaran Muralidharan³ 

[1] IIT Bombay;Department of Physics at HTKanpur;Departmentof Electrical Engineering at IT Bombay

关键词: Quantum mechanics;    SSH;    polarization;    geometric phase;    entanglement;    correlator method;    von-Neumann density-matrix method;    transport signatures.;   

DOI  :  10.1007/s12045-022-1510-3

学科分类：社会科学、人文和艺术（综合）

来源: Springer

【 摘 要 】

Geared as an invitation for undergraduates, beginning graduatestudents, we present a pedagogical introduction to one- dimensionaltopological phases—in particular, the Su–Schrieffer–Heegermodel. In the process, we delve upon ideas of entanglementusing the correlator method and the von-Neumann density matrix method,geometric phase, polarization, transport signaturesand the role of electron-electron interactions. Through hands onnumerical experiments, whose codes are shared, we try todrive home the message why a program of simulating quantumelectronics with topological toy models is the storehouse fordiscovering fantastic physics ideas.

【 授权许可】

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