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Exact solution of one class of Maryland model

arXiv
Authors: Tao Ma

Year

2007

Paper ID

49067

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

The Hamiltonian H of one-body Maryland model is defined as the sum of a linear unperturbed Hamiltonian H_0 and the interaction V, which is a Toeplitz matrix. Maryland model with a doubly infinite Hilbert space are exactly solved. Special cases of one-body Maryland model include the original Maryland model (Phys. Rev. Lett. 49, 833 (1982) and Physica 10D, 369 (1984)), which describes a quantum kickied linear rotator and single band Bloch oscillations. Maryland model and single band Bloch oscillations are the same Hamiltonian in two different representations. A special case of many-body Maryland model is Luttinger model.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The Hamiltonian H of one-body Maryland model is defined as the sum of a linear unperturbed Hamiltonian H_0 and the interaction V, which is a Toeplitz matrix.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.2494 [2] arXiv https://arxiv.org/abs/0709.2494 [3] Publisher https://arxiv.org/abs/0709.2494

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