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
收藏
页码：87 / 106
页数：20
相关论文
共 50 条
  • [1] Weak invariants of time-dependent quantum dissipative systems
    Abe, Sumiyoshi
    PHYSICAL REVIEW A, 2016, 94 (03)
  • [2] Quantum Algorithm for Time-Dependent Hamiltonian Simulation by Permutation Expansion
    Chen, Yi-Hsiang
    Kalev, Amir
    Hen, Itay
    PRX QUANTUM, 2021, 2 (03):
  • [3] Computing the effective Hamiltonian for a time-dependent Hamiltonian
    Nolte, Martin
    Kroener, Dietmar
    HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 2, 2009, 67 : 815 - 824
  • [4] Decoherence and Transition to Classicality for Time-Dependent Stochastic Quantum Systems with a General Environment
    Choi, Jeong Ryeol
    AXIOMS, 2023, 12 (04)
  • [5] On the algebraic approach to the time-dependent quadratic Hamiltonian
    Urdaneta, Ines
    Sandoval, Lourdes
    Palma, Alejandro
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (38)
  • [6] Time-dependent perturbation theory for the construction of invariants of Hamiltonian systems
    Lewis, HR
    Bates, JW
    Finn, JM
    PHYSICS LETTERS A, 1996, 215 (3-4) : 160 - 166
  • [7] The Harmonic Potential Theorem for a Quantum System with Time-Dependent Effective Mass
    Lai Meng-Yun
    Xiao Duan-Liang
    Pan Xiao-Yin
    CHINESE PHYSICS LETTERS, 2015, 32 (11)
  • [8] Time-dependent relaxation of observables in complex quantum systems
    Volya, Alexander
    Zelevinsky, Vladimir
    JOURNAL OF PHYSICS-COMPLEXITY, 2020, 1 (02):
  • [9] Davydov-Chaban Hamiltonian in presence of time-dependent potential
    Sobhani, Hadi
    Hassanabadi, Hassan
    PHYSICS LETTERS B, 2016, 760 : 1 - 5
  • [10] Quantum tunneling effect of a time-dependent inverted harmonic oscillator
    Guo, Guang-Jie
    Ren, Zhong-Zhou
    Ju, Guo-Xing
    Guo, Xiao-Yong
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (18)
12345