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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...
Semiclassical Description of Relativistic Spin without use of Grassmann variables and the Dirac equation
Relativistic Spin Grassmann variables Dirac equation
2011/9/29
Abstract: We propose the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Both $\Gamma$\,-matrices and the relativistic spin-ten...
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...
Unconstrained Variables and Equivalence Relations for Lattice Gauge Theories
Unconstrained Variables Equivalence Relations Lattice Gauge Theories
2010/12/27
We write the partition function for a lattice gauge theory exactly in terms of unconstrained variables and show that in the calculation for the effective potential, which involves uniform field config...
Unconstrained Variables and Equivalence Relations for Lattice Gauge Theories
Unconstrained Variables Equivalence Relations
2011/1/7
We write the partition function for a lattice gauge theory exactly in terms of unconstrained variables and show that in the calculation for the effective potential, which involves uniform field config...
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...
A note on "Loophole-free Bell test for continuous variables via wave and particle correlations (Phys. Rev. Lett. 105, 170404 (2010))"
Loophole-free Bell test continuous variables via wave particle correlations
2010/11/8
The inequalities proposed in [Phys. Rev. Lett. 105, 170404 (2010)] are not Bell's inequalities in the usual sense: there are local classical models that violate these inequalities. Thus, their violati...
Loophole-free Bell test for continuous variables via wave and particle correlations
Loophole-free Bell test continuous variables via wave particle correlations
2010/11/8
We derive two classes of multi-mode Bell inequalities under local realistic assumptions, which are violated only by the entangled states negative under partial transposition in accordance with the Per...
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...