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Evolution of additional (hidden) quantum variables in the interference of Bose-Einstein condensates
Additional variable hidden variables quantum mechanics the high concentration condensate
2014/12/20
Additional variables (also often called “hidden variables”) are sometimes added to standard quantum mechanics in order to remove its indeterminism or “incompleteness” and to make the measurement proce...
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables Complete spectrum matrix elements Mathematical Physics
2012/6/19
The integrable quantum models associated to the transfer matrices of spin 1/2 highest weight representations for the 6-vertex reflection algebra are studied in the framework of Sklyanin's quantum sepa...
The Fourier U(2) Group and Separation of Discrete Variables
discrete coordinates Fourier U(2) group Cartesian pixellation polar pixellation
2011/9/9
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4;<), whose maximal compact subgroup is the Fourier group
U(2)F; this includes isotropic and anis...
Approximate action-angle variables for the figure-eight and other periodic three-body orbits
action-angle variables three-body orbit
2011/9/14
We use the maximally permutation symmetric set of three-body coordinates, that consist of the “hyper-radius” R = p2 + 2, the “rescaled area of the triangle”
p3
2R2 | × |) and the (braiding)
hyp...
Approximate action-angle variables for the figure-eight and other periodic three-body orbits
the figure-eight other periodic three-body orbits Classical Physics
2011/7/26
Approximate action-angle variables for the figure-eight and other periodic three-body orbits.
The Fourier U(2) Group and Separation of Discrete Variables
Optics Fourier U(2) Group Separation of Discrete Variables
2011/7/25
Abstract: The linear canonical transformations of geometric optics on two-dimensional screens form the group $Sp(4,R)$, whose maximal compact subgroup is the Fourier group $U(2)_F$; this includes isot...
Note on "A note on "Loophole-free Bell test for continuous variables via wave and particle correlations""
A note on continuous variables via wave particle correlations
2010/11/9
In a recent note, Cavalcanti and Scarani (CS) constructed a counter local-hidden-variable model to explain the violation of our inequalities in Phys. Rev. Lett. 105, 170404 (2010). All such models ar...
Linear amplification and quantum cloning for non-Gaussian continuous variables
Linear amplification quantum cloning non-Gaussian continuous variables
2010/10/19
We investigate phase-insensitive linear amplification at the quantum limit for single- and two-mode states and show that there exists a broad class of non-Gaussian states whose nonclassicality survive...
The U(1) Lattice Gauge Theory Universally Connects All Classical Models with Continuous Variables, Including Background Gravity
Lattice gauge theory Statistical mechanics Quantum information
2010/11/4
We show that the partition function of many classical models with continuous degrees of freedom, e.g. abelian lattice gauge theories and statistical mechanical models, can be written as the partition...
New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
Two-Dimensional Quantum Model Amenable Separation Variables
2010/11/11
The supersymmetric intertwining relations with second order supercharges allow to investigate new two-dimensional model which is not amenable to standard separation of variables. The corresponding po...
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
supersymmetry separation of variables integrability solvability
2010/10/27
Two different approaches are formulated to analyze two-dimensional quantum
models which are not amenable to standard separation of variables. Both methods are essentially
based on supersymmetrical s...
New variables of separation for particular case of the Kowalevski top
Kowalevski top polynomial bi-Hamiltonian zero square integral
2010/4/1
We discuss the polynomial bi-Hamiltonian structures for the Kowalevski top in special case of zero square integral. An explicit procedure to find variables of separation and separation relations is co...
On Separation of Variables for Integrable Equations of Soliton Type
Integrable Equations Soliton Type Separation of Variables
2010/4/1
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $\mathfrak{sl}(2,\Complex)\times \mathcal{P}(\lambda,\lambda^{-1})$. In part...
Normally Ordered Quantum Gate Operators for Continuum Variables as
Images of Classical Transforms
quantum gate operators IWOP technique
2007/8/15
2003Vol.39No.3pp.271-274DOI:
Normally Ordered Quantum Gate Operators for Continuum Variables as
Images of Classical Transforms
FAN Hong-Yi,1,2 LU Hai-Liang,1 and FAN Yue2
...
N-Particle Entangled States of Continuum Variables
N-particle entangled state Schmidt decomposition entangled operator
2007/8/15
2003Vol.39No.3pp.275-278DOI:
N-Particle Entangled States of Continuum Variables
SONG Tong-Qiang and ZHU Yue-Jin
Department of Physics, Ningbo University, Ningbo 315211, ...