Quantum Quench Dynamics of a Luttinger Liquid with an Impurity
碩士 === 國立交通大學 === 電子物理系所 === 107 === We study the quench dynamics of a quantum impurity coupled to two Luttinger liquid wires via a single-barrier potential, otherwise known as the Kane-Fisher model. The system is not coupled at t ≤ 0 but the impurity-wire coupling is suddenly turned on or off and b...
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| Format: | Others |
| Language: | en_US |
| Published: |
2019
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| Online Access: | http://ndltd.ncl.edu.tw/handle/2d2gnd |
| Summary: | 碩士 === 國立交通大學 === 電子物理系所 === 107 === We study the quench dynamics of a quantum impurity coupled to two Luttinger liquid wires via a single-barrier potential, otherwise known as the Kane-Fisher model. The system is not coupled at t ≤ 0 but the impurity-wire coupling is suddenly turned on or off and breaks the equilibrium of the system, triggering a nontrivial time evolution starting at t = 0+. We compute the time-evolved Fermi operator and various correlation functions of the system at a later time (t > 0) in the weak tunneling (strong backscattering) limits. The simultaneous oscillatory and power-law decay is found in the correlation functions. The quantum quench dynamics of the sine-Gordon model are also discussed.
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