Simulating Dirac Hamiltonian in curved space-time by split-step quantum walk
نویسندگان
چکیده
منابع مشابه
Dirac Cellular Automaton from Split-step Quantum Walk
Simulations of one quantum system by an other has an implication in realization of quantum machine that can imitate any quantum system and solve problems that are not accessible to classical computers. One of the approach to engineer quantum simulations is to discretize the space-time degree of freedom in quantum dynamics and define the quantum cellular automata (QCA), a local unitary update ru...
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A particular family of timeand space-dependent discrete-time quantum walks (QWs) is considered in onedimensional physical space. The continuous limit of these walks is defined through a procedure discussed here and computed in full detail. In this limit, the walks coincide with the propagation of a massless Dirac fermion in an arbitrary gravitational field. A QW mimicking the radial propagation...
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Abstract: In this paper we consider quantum walks whose evolution converges to the Dirac equation in the limit of small wave-vectors. We show exact Fast Fourier implementation of the Dirac quantum walks in one, two, and three space dimensions. The behaviour of particle states—defined as states smoothly peaked in some wave-vector eigenstate of the walk—is described by an approximated dispersive ...
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ژورنال
عنوان ژورنال: Journal of Physics Communications
سال: 2019
ISSN: 2399-6528
DOI: 10.1088/2399-6528/aafe2f