The Fourier slice transformation of the Wigner operator and the quantum tomogram of the density operator

2012 ◽  
Vol 21 (3) ◽  
pp. 034203
Author(s):  
Tong-Tong Wang ◽  
Hong-Yi Fan
Keyword(s):  
Density Operator ◽  
Wigner Operator ◽  
Quantum Tomogram

Time Evolution of the Wigner Operator as a Quasi-density Operator in Amplitude Dessipative Channel

2018 ◽  
Vol 57 (6) ◽  
pp. 1888-1893
Author(s):  
Zhisong Yu ◽  
Guihua Ren ◽  
Ziyang Yu ◽  
Chenhuinan Wei ◽  
Hongyi Fan
Keyword(s):  
Time Evolution ◽  
Density Operator ◽  
Wigner Operator

QUANTUM PHASE SPACE THEORY BASED ON INTERMEDIATE COORDINATE-MOMENTUM REPRESENTATION

2007 ◽  
Vol 21 (27) ◽  
pp. 1831-1836 ◽  
Author(s):  
HONG-YI FAN ◽  
QIN GUO
Keyword(s):  
Phase Space ◽  
Marginal Distribution ◽  
The State ◽  
Quantum Phase ◽  
Space Theory ◽  
Momentum Representation ◽  
Wigner Operator ◽  
Radon Transformation ◽  
Phase Space Theory ◽  
Quantum Tomogram

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate-momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space. We find that the new Wigner function's marginal distribution for a state |Ψ〉 is just the quantum tomogram of the state |Ψ〉.

Assigning Values and States

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum State ◽  
Density Operator ◽  
Entangled State ◽  
Physical Situation ◽  
Born Rule ◽  
Correct Assignment ◽  
Significant Magnitude ◽  
Good Advice ◽  
Empirical Significance ◽  
Important Idea

If a quantum state is prescriptive then what state should an agent assign, what expectations does this justify, and what are the grounds for those expectations? I address these questions and introduce a third important idea—decoherence. A subsystem of a system assigned an entangled state may be assigned a mixed state represented by a density operator. Quantum state assignment is an objective matter, but the correct assignment must be relativized to the physical situation of an actual or hypothetical agent for whom its prescription offers good advice, since differently situated agents have access to different information. However this situation is described, it is true, empirically significant magnitude claims that make the description correct, while others provide the objective grounds for the agent’s expectations. Quantum models of environmental decoherence certify the empirical significance of these magnitude claims while also licensing application of the Born rule to others without mentioning measurement.

scholarly journals Separation of variables in AdS/CFT: functional approach for the fishnet CFT

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Andrea Cavaglià ◽  
Nikolay Gromov ◽  
Fedor Levkovich-Maslyuk
Keyword(s):  
Integrable Systems ◽  
Density Operator ◽  
Numerical Evaluation ◽  
Lagrangian Density ◽  
Separation Of Variables ◽  
Functional Approach ◽  
Quantum Integrable Systems ◽  
Arbitrary State ◽  
Nontrivial Coupling ◽  
The One

Abstract The major simplification in a number of quantum integrable systems is the existence of special coordinates in which the eigenstates take a factorised form. Despite many years of studies, the basis realising the separation of variables (SoV) remains unknown in $$ \mathcal{N} $$ N = 4 SYM and similar models, even though it is widely believed they are integrable. In this paper we initiate the SoV approach for observables with nontrivial coupling dependence in a close cousin of $$ \mathcal{N} $$ N = 4 SYM — the fishnet 4D CFT. We develop the functional SoV formalism in this theory, which allows us to compute non-perturbatively some nontrivial observables in a form suitable for numerical evaluation. We present some applications of these methods. In particular, we discuss the possible SoV structure of the one-point correlators in presence of a defect, and write down a SoV-type expression for diagonal OPE coefficients involving an arbitrary state and the Lagrangian density operator. We believe that many of the findings of this paper can be applied in the $$ \mathcal{N} $$ N = 4 SYM case, as we speculate in the last part of the article.

scholarly journals Unruh effect universality: emergent conical geometry from density operator

2020 ◽  
Vol 2020 (3) ◽  
Author(s):  
Georgy Y. Prokhorov ◽  
Oleg V. Teryaev ◽  
Valentin I. Zakharov
Keyword(s):  
Density Operator ◽  
Unruh Effect

On Lower and Semi-Lower Density Operators

2007 ◽  
Vol 14 (4) ◽  
pp. 661-671
Author(s):  
Jacek Hejduk ◽  
Anna Loranty
Keyword(s):  
Density Operator ◽  
Baire Property ◽  
Density Operators ◽  
Dense Sets ◽  
Meager Sets ◽  
Algebras Of Sets

Abstract This paper contains some results connected with topologies generated by lower and semi-lower density operators. We show that in some measurable spaces (𝑋, 𝑆, 𝐽) there exists a semi-lower density operator which does not generate a topology. We investigate some properties of nowhere dense sets, meager sets and σ-algebras of sets having the Baire property, associated with the topology generated by a semi-lower density operator.

A SOLVABLE MODEL OF INTERACTING MANY BODY SYSTEMS EXHIBITING A BREAKDOWN OF THE BOLTZMANN EQUATION

2014 ◽  
Vol 28 (03) ◽  
pp. 1450046
Author(s):  
B. H. J. McKELLAR
Keyword(s):  
Boltzmann Equation ◽  
Time Dependence ◽  
Single Particle ◽  
Density Operator ◽  
Particle Density ◽  
Solvable Model ◽  
Many Body ◽  
Single Particle Density ◽  
The Boltzmann Equation ◽  
Many Body Systems

In a particular exactly solvable model of an interacting system, the Boltzmann equation predicts a constant single particle density operator, whereas the exact solution gives a single particle density operator with a nontrivial time dependence. All of the time dependence of the single particle density operator is generated by the correlations.

INTEGRABLE FIELD THEORY OF THE q-STATE POTTS MODEL WITH 0

1992 ◽  
Vol 07 (21) ◽  
pp. 5317-5335 ◽  
Author(s):  
LEUNG CHIM ◽  
ALEXANDER ZAMOLODCHIKOV
Keyword(s):  
Field Theory ◽  
Potts Model ◽  
Density Operator ◽  
Size Distributions ◽  
Quantum Field ◽  
Particle Content ◽  
Integrable Field Theory ◽  
Percolation Problem ◽  
S Matrix ◽  
Integrable Field

Two-dimensional quantum field theory obtained by perturbing the q-state Potts-model CFT (0<q<4) with the energy-density operator Φ(2, 1) is shown to be integrable. The particle content of this QFT is conjectured and the factorizable S matrix is proposed. The limit q→1 is related to the isotropic-percolation problem in 2D and so we make a few predictions about the size distributions of the percolating clusters in the scaling domain.

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