Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer series in optical sciences/SPringer series in optical sciences

Eclectic Blueprints: Phase-Space Representations

Jorge Ojeda‐Castañeda

Published Jan 1, 2021• 0 citations
Publisher
DOI
10.1007/978-3-662-63802-6_7

Related papers

Phase Space Representation

Claudio Conti

Quantum science and technology•Sep 4, 2023•0 citations

Quantum Phase Space, Quantization Hierarchy, and Eclectic Quantum Many-Body System

Dongsheng Wang

An operator-valued quantum phase space formula is constructed. The phase space formula of Quantum Mechanics provides a natural link between first and second quantization, thus contributing to the understanding of quantization problem. By the combination of quantization and hamiltonization of dynamics, a quantization hierarchy is introduced, beyond the framework of first and second quantization and generalizing the standard quantum theory. We apply our quantization method to quantum many-body system and propose an eclectic model, in which the dimension of Hilbert space does not scale exponentially with the number of particles due to the locality of interaction, and the evolution is a constrained Hamiltonian dynamics.

arXiv:1410.1205•Oct 5, 2014•0 citations

Quantizing Phase Space

WORLD SCIENTIFIC eBooks•Oct 6, 2013•0 citations

Jordan blocks and the Bethe Ansatz I: The eclectic spin chain as a limit

Juan Miguel Nieto García, Leander Wyss

We present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors. As an example of this process, we compute a subset of the spectrum of the eclectic spin chain by means of the Nested Coordinate Bethe Ansatz. This allows us to show that the Bethe Ansatz of the finitely twisted spin chain contains enough information to reconstruct the generalised eigenvectors of the eclectic spin chain.

arXiv:2112.13883•Nuclear Physics B•Jun 9, 2022•10 citations

The Legacy of George Sudarshan

Giuseppe Marmo, Saverio Pascazio

George Sudarshan was an eclectic thinker, and one of the most profound physicists of the last century. We review here a small part of his oeuvre, focusing on his pioneering contributions to the quantum Zeno effect, quantum channels (the Kraus–Sudarshan representation) and quantum semigroups (the Gorini–Kossakowski–Lindblad–Sudarshan equation). These topics are of crucial importance in the booming field of quantum mechanics and applications.

arXiv:1907.05682•Open Systems & Information Dynamics•Sep 1, 2019•1 citation

Discrete Phase Space Viewpoint

WORLD SCIENTIFIC eBooks•Aug 1, 2009•0 citations
An operator-valued quantum phase space formula is constructed. The phase space formula of Quantum Mechanics provides a natural link between first and second quantization, thus contributing to the understanding of quantization problem. By the combination of quantization and hamiltonization of dynamics, a quantization hierarchy is introduced, beyond the framework of first and second quantization and generalizing the standard quantum theory. We apply our quantization method to quantum many-body system and propose an eclectic model, in which the dimension of Hilbert space does not scale exponentially with the number of particles due to the locality of interaction, and the evolution is a constrained Hamiltonian dynamics.
We present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors. As an example of this process, we compute a subset of the spectrum of the eclectic spin chain by means of the Nested Coordinate Bethe Ansatz. This allows us to show that the Bethe Ansatz of the finitely twisted spin chain contains enough information to reconstruct the generalised eigenvectors of the eclectic spin chain.