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Bound states of PT-symmetric separable potentials
PT-symmetric separable potentials High Energy Physics - Theory
2011/9/30
Abstract: All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)]$...
Defect Solitons in PT Symmetric Optical lattices with nonlocal nonlinearity
Defect Solitons PT Symmetric Optical lattices nonlocal nonlinearity
2011/8/3
Abstract: The existence and stability of defect solitons in parity-time (PT) symmetric optical lattices with nonlocal nonlinearity are reported. Fundamental solitons are found in the semi-infinite gap...
Solitons supported by complex PT symmetric Gaussian potentials
Solitons complex PT symmetric Gaussian potentials Optics
2011/8/2
Abstract: The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time (PT) symmetric Gaussian complex potentials are reported. Fundamental soliton...
Perturbation Theory for PT-Symmetric Sinusoidal Optical Lattices at the Symmetry-Breaking Threshold
PT-Symmetric Sinusoidal Optical the Symmetry-Breaking Threshold
2011/8/31
The PT symmetric potential V0[cos(2x/a)+i sin(2x/a)] has a completely real spectrum for ≤ 1, and begins to develop complex eigenvalues for > 1. At the
symmetry-breaking threshold = 1 some of...
Suppose that a system is known to be in one of two quantum states, $|\psi_1 > $ or $|\psi_2 >$. If these states are not orthogonal, then in conventional quantum mechanics it is impossible with one mea...
Perfect transmission scattering as a PT-symmetric spectral problem
Perfect transmission scattering PT-symmetric spectral problem
2010/11/23
We establish that a perfect-transmission scattering problem can be described by a class of parity and time reversal symmetric operators and hereby we provide a scenario for understanding and implemen...
Supersymmetry and PT-Symmetric Spectral Bifurcation
Supersymmetry Spectral Bifurcation Quantum Physics
2010/11/8
Dynamical systems exhibiting both PT and Supersymmetry are analyzed in a general scenario. It is found that, in an appropriate parameter domain, the ground state may or may not respect PT-symmetry. In...
Use of Equivalent Hermitian Hamiltonian for $PT$-Symmetric Sinusoidal Optical Lattices
Equivalent Hermitian Hamiltonian $PT$-Symmetric Sinusoidal Optical Lattices
2010/10/27
show how the band structure and beam dynamics of non-Hermitian PT-symmetric sinusoidal optical lattices can be approached from the point of view of the equivalent Hermitian problem, obtained by an ana...
Quantum noise and self-sustained radiation of PT-symmetric systems
Quantum noise self-sustained radiation PT-symmetric systems
2010/3/10
The observation that PT-symmetric Hamiltonians can have real-valued energy levels even if they are non-hermitian has triggered intense activities, with experiments in particular focusing on optical sy...
Projective Geometry and $\cal PT$-Symmetric Dirac Hamiltonian
Projective Geometry $\cal PT$-Symmetric Dirac Hamiltonian
2010/4/13
The $(3 + 1)$-dimensional (generalized) Dirac equation is shown to have the same form as the equation expressing the condition that a given point lies on a given line in 3-dimensional projective space...