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The a-cycle problem for transverse Ising ring

Traditionally, the transverse Ising model is mapped to the fermionic c-cycle problem, which neglects the boundary effect due to thermodynamic limit. If persisting on a perfect periodic boundary…
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Some solutions to the space fractional Schrödinger equation using momentum representation method

The space fractional Schrodinger equation with linear potential, delta-function potential, and Coulomb potential is studied under momentum representation using Fourier transformation. By use of…
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The A-Cycle Problem In XY model with Ring Frustration

Traditionally, the transverse spin-1/2 XY model is mapped to a fermionic "c-cycle" problem, where the prior periodic boundary condition is applied to the fermionic chain and the additional boundary…
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Fractional Green’s Function for the Time-Dependent Scattering Problem in the Space-Time-Fractional Quantum Mechanics

Integral form of the space-time-fractional Schrödinger equation for the scattering problem in the fractional quantum mechanics is studied in this paper. We define the fractional Green’s function for…
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Scattering problems in the fractional quantum mechanics governed by the 2D space-fractional Schrödinger equation

The 2D space-fractional Schrodinger equation in the time-independent and time-dependent cases for the scattering problems in the fractional quantum mechanics is studied. We define the Green's…
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Applications of density matrix in the fractional quantum mechanics: Thomas–Fermi model and Hohenberg–Kohn theorems revisited

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Rigorous proof for the nonlocal correlation function in the transverse Ising model with ring frustration.

It is proved that all the low excited energy states forming the gapless kink phase share the same asymptotic correlation function with the ground state, and the thermal correlation function almost remains constant at low temperatures if one assumes a canonical ensemble.
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Hybridization fluctuations in the half-filled periodic Anderson model

Motivated by recent photoemission and pump-probe experiments, we report determinant Quantum Monte Carlo simulations of hybridization fluctuations in the half-filled periodic Anderson model. A…
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Functional field integral approach to quantum work

We introduce the functional field integral approach to study the statistics of quantum work for arbitrary nonequilibrium process. For a general bilinear Hamiltonian with a sudden quench of the…
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Green's function for the time-dependent scattering problem in the fractional quantum mechanics

We study the Green's function of the time-dependent 3D space-fractional Schrodinger equation for the scattering problem in the fractional quantum mechanics. The Green's function is expressed in terms…
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