Simulation of state evolutions in Gross-Neveu model by matrix product state representation

A quantum algorithm to simulate the real time dynamics of two-flavor massive Gross-Neveu model is presented in Schrodinger picture. We implement the simulation on a classic computer by applying the matrix product state representation. The real time evolutions of up to four particles on a site in ini...

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Bibliographic Details
Published inarXiv.org
Main Authors De-Sheng, Li, Wang, Hao, Chu, Guo, Zhong, Ming, Ping-Xing, Chen
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.11.2020
Subjects
Algorithms
Coupling
Fermions
Flavor (particle physics)
Real time
Representations
Simulation
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Summary:A quantum algorithm to simulate the real time dynamics of two-flavor massive Gross-Neveu model is presented in Schrodinger picture. We implement the simulation on a classic computer by applying the matrix product state representation. The real time evolutions of up to four particles on a site in initial state are figured out in space-time coordinate. The state evolutions are effectively affected by fermion mass and coupling constant of the model. Especially when the mass of fermion is small enough and the coupling is strong enough, the fundamental fermions evolve synchronistically in space from the two-fermion and four-fermion initial states. These are also the conditions on which the bound states made up of fundamental fermion pairs were found to arise automatically in the literatures.
ISSN:2331-8422