Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Open Quantum Systems Decoherence Quantum Simulation

Two-dimensional non commutative Swanson model and its bicoherent states

arXiv
Authors: Fabio Bagarello, Francesco Gargano, Salvatore Spagnolo

Year

2017

Paper ID

24860

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

We introduce an extended version of the Swanson model, defined on a two-dimensional non commutative space, which can be diagonalized exactly by making use of pseudo-bosonic operators. Its eigenvalues are explicitly computed and the biorthogonal sets of eigenstates of the Hamiltonian and of its adjoint are explicitly constructed. We also show that it is possible to construct two displacement-like operators from which a family of bi-coherent states can be obtained. These states are shown to be eigenstates of the deformed lowering operators, and their projector allows to produce a suitable resolution of the identity in a dense subspace of Lc2\(Bbb R2\).

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • We introduce an extended version of the Swanson model, defined on a two-dimensional non commutative space, which can be diagonalized exactly by making use of pseudo-bosonic...

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.10181 [2] arXiv https://arxiv.org/abs/1711.10181 [3] Publisher https://arxiv.org/abs/1711.10181

Local Citation Graph (Related-Paper Links)

Current Paper #24860 #68456 Analytic Properties of the Jost... #68455 Mediative Fuzzy Logic: From Typ... #68453 Weak wave turbulence as a precu... #68437 Transition-state lattice modes ...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.