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000856610 037__ $$aFZJ-2018-05978
000856610 041__ $$aEnglish
000856610 1001_ $$0P:(DE-Juel1)144355$$aJin, Fengping$$b0$$eCorresponding author$$ufzj
000856610 1112_ $$aQuantum Many-Body Methods  In Condensed Matter Systems$$cJulich$$d2018-09-24 - 2018-09-27$$wGermany
000856610 245__ $$aQuantum typicality approach: Application to transport in the one-dimensional Hubbard model
000856610 260__ $$c2018
000856610 3367_ $$033$$2EndNote$$aConference Paper
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000856610 3367_ $$0PUB:(DE-HGF)6$$2PUB:(DE-HGF)$$aConference Presentation$$bconf$$mconf$$s1540358109_17681$$xInvited
000856610 520__ $$aIn quantum theory, a typical state is a pure random state representing the majority of all possible states, drawn at random from a high-dimensional Hilbert space. The concept of typicality says that such a random state has the same properties as the full statistical ensemble. This concept, together with numerically solving the time-dependent Schrödinger equation (TDSE), is the basis of the so-called quantum typicality approach. It can be used to calculate various properties of quantum systems, such as the density of states (DOS) or certain static and dynamic functions.In this talk, I will start by reviewing the leading methods to solve the TDSE. Following this, I will present the basic concepts contained in the quantum typicality approach. Finally, I will present results of applying the method to transport in the 1D Hubbard model.
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000856610 9141_ $$y2018
000856610 920__ $$lyes
000856610 9201_ $$0I:(DE-Juel1)JSC-20090406$$kJSC$$lJülich Supercomputing Center$$x0
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