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

Physical Review A

Dynamics of the SU(1,1) Bloch vector

G. Dattoli, A. Dipace, A. Torre

Published Jun 1, 1986• 28 citations
Publisher

Abstract

In this paper we introduce the Bloch vector of the SU(1,1) space in full analogy with the well-known vector of the two-level systems.Received 20 December 1985DOI:https://doi.org/10.1103/PhysRevA.33.4387©1986 American Physical Society

DOI
10.1103/physreva.33.4387

Related papers

Time-dependent density-functional theory for multicomponent systems

Tiecheng Li, Peiqing Tong

The Runge-Gross version of the Hohenberg-Kohn-Sham density-functional theory is generalized to multicomponent systems.Received 9 December 1985DOI:https://doi.org/10.1103/PhysRevA.34.529©1986 American Physical Society

Physical Review A•Jul 1, 1986•57 citations

The Bloch Vector forN-Level Systems

Gen Kimura

We explicitly determine the Bloch-vector space for arbitrary N -level systems, which generalizes a familiar Bloch ball in 2-level systems.

Journal of the Physical Society of Japan•Jan 1, 2003•26 citations

Bloch Sphere of the Qutrit System

Surajit Sen, Dey, Tushar Kanti

We present a novel method to study the Bloch space of the qutrit system by examining the Bloch trajectories in it. Since such system is inherently a three-level quantum system, therefore we use the SU(3) group as the basis group to obtain the Bloch vectors of different configurations of it. The norm of the Bloch space is evaluated from the geometric consideration and also from the dynamics of the Bloch vectors and both results are found to be identical. The analysis of the dynamical evolution of the Bloch vectors reveals an additional feature that, under resonant conditions, the Bloch sphere $\mathbb{S}^{7}$ splits into two parts, a four-sphere $\mathbb{S}^{4}$ and a two-sphere $\mathbb{S}^{2}$. The Bloch trajectories of the two sectors across different configurations exhibit a range of simple to complex curves, highlighting the non-trivial structure of the Bloch space of the qutrit system.

arXiv:2411.16480•Nov 25, 2024•0 citations

Relevant spaces in quantum dynamics and statistical physics

D. Otero, Angel Ricardo Plastino, Araceli N. Proto +1 more

A systematic method for the decoupling of a relevant subspace of the Hilbert space from the rest of it is developed, on the basis of the dynamical properties of the observables one is interested in.Received 18 June 1985DOI:https://doi.org/10.1103/PhysRevA.33.3446©1986 American Physical Society

Physical Review A•May 1, 1986•16 citations

Bloch Sphere like construction of SU(3) Hamiltonians

Sai Vinjanampathy, A. R. P. Rau

The geometric structure of the time evolution operator for a three-level atom is presented via Unitary Integration. The time dependence of the operator equations is recast in Many the form of real rotations.

Frontiers in Optics•Jan 1, 2008•0 citations

Evidence for Ising-Type Critical Behavior in Two-Dimensional Percolation

Joan Adler

Received 6 December 1985DOI:https://doi.org/10.1103/PhysRevLett.57.918©1986 American Physical Society

Physical Review Letters•Aug 18, 1986•3 citations
In this paper we introduce the Bloch vector of the SU(1,1) space in full analogy with the well-known vector of the two-level systems.Received 20 December 1985DOI:https://doi.org/10.1103/PhysRevA.33.4387©1986 American Physical Society
We present a novel method to study the Bloch space of the qutrit system by examining the Bloch trajectories in it. Since such system is inherently a three-level quantum system, therefore we use the SU(3) group as the basis group to obtain the Bloch vectors of different configurations of it. The norm of the Bloch space is evaluated from the geometric consideration and also from the dynamics of the Bloch vectors and both results are found to be identical. The analysis of the dynamical evolution of the Bloch vectors reveals an additional feature that, under resonant conditions, the Bloch sphere S7\mathbb{S}^{7}S7 splits into two parts, a four-sphere S4\mathbb{S}^{4}S4 and a two-sphere S2\mathbb{S}^{2}S2. The Bloch trajectories of the two sectors across different configurations exhibit a range of simple to complex curves, highlighting the non-trivial structure of the Bloch space of the qutrit system.