QUANTUM TOMOGRAPHY OF TIME-DEPENDENT NONLINEAR HAMILTONIAN SYSTEMS

被引：2

作者：

Man'ko, V., I ^{[1
,2
]}

Markovich, L. A. ^{[3
,4
,5
]}

机构：

[1] Russian Acad Sci, PN Lebedev Phys Inst, Leninskii Prospect 53, Moscow 119991, Russia

[2] Moscow Inst Phys & Technol, Inst Per 9, Dolgoprudnyi 141700, Moscow Region, Russia

[3] Russian Acad Sci, Inst Control Sci, Profsoyuznaya 65, Moscow 117997, Russia

[4] Inst Informat Transmiss Problems, Bolshoy Karetny Per 19,Build 1, Moscow 127051, Russia

[5] Russian Quantum Ctr, Correlated Quantum Syst Grp, Novaya St 100A, Moscow 143025, Russia

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2019年 / 83卷 / 01期

关键词：

quantum tomography; nonlinear Hamiltonian; oscillator; coherent states; CHARGED-PARTICLE; COHERENT STATES; SYMPLECTIC TOMOGRAPHY; CURRENT SITUATION; INVARIANTS; DYNAMICS;

D O I：

10.1016/S0034-4877(19)30026-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss several models of nonlinear oscillators within the framework of a tomographic probability representation of quantum mechanics. Using the connection between the Green's function and the integrals of motion of quantum systems with the time-dependent Schrodinger equation with variable nonlinear Hamiltonians, the explicit tomograms for such systems are found. The case of quadratic and quasi-quadratic Hamiltonians are studied in detail.

引用

页码：87 / 106

页数：20

共 43 条

[1] Maximum-likelihood coherent-state quantum process tomography [J].

Anis, Aamir ;

Lvovsky, A. I. .

NEW JOURNAL OF PHYSICS, 2012, 14

[2] Quantum transitions in the center-of-mass tomographic probability representation [J].

Arkhipov, AS ;

Man'ko, VI .

PHYSICAL REVIEW A, 2005, 71 (01)

[3] New method of quantum dynamics simulation based on the quantum tomography [J].

Arkhipov, AS ;

Lozovik, YE .

PHYSICS LETTERS A, 2003, 319 (3-4) :217-224

[4]

Aronson E. B., 1974, Soviet Journal of Particles and Nuclei, V5, P47

[5]

Bargmann V., 1971, Reports on Mathematical Physics, V2, P221, DOI 10.1016/0034-4877(71)90006-1

[6] EXPERIMENTAL-DETERMINATION OF QUANTUM-PHASE DISTRIBUTIONS USING OPTICAL HOMODYNE TOMOGRAPHY [J].

BECK, M ;

SMITHEY, DT ;

RAYMER, MG .

PHYSICAL REVIEW A, 1993, 48 (02) :R890-R893

[7]

CHERNIKOV NA, 1967, ZH EKSP TEOR FIZ, V53, P1006

[8] Time reversal for modified oscillators [J].

Cordero-Soto, R. ;

Suslov, S. K. .

THEORETICAL AND MATHEMATICAL PHYSICS, 2010, 162 (03) :286-316

[9]

Cordero-Soto R., 2009, J PHYS MATH, V1

[10] Propagator of a charged particle with a spin in uniform magnetic and perpendicular electric fields [J].

Cordero-Soto, Ricardo ;

Lopez, Raquel M. ;

Suazo, Erwin ;

Suslov, Sergei K. .

LETTERS IN MATHEMATICAL PHYSICS, 2008, 84 (2-3) :159-178

← 1 2 3 4 5 →