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  1. International Journal of Theoretical Physics
  2. International Journal of Theoretical Physics : Volume 54
  3. International Journal of Theoretical Physics : Volume 54, Issue 11, November 2015
  4. Open Quantum Systems with Loss and Gain
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International Journal of Theoretical Physics : Volume 56
International Journal of Theoretical Physics : Volume 55
International Journal of Theoretical Physics : Volume 54
International Journal of Theoretical Physics : Volume 54, Issue 12, December 2015
International Journal of Theoretical Physics : Volume 54, Issue 11, November 2015
Special Issue “Pseudo-Hermitian Hamiltonians in Quantum Physics in 2014”
Algebraic Treatment of 𝓟𝓣-Symmetric Coupled Oscillators
Open Quantum Systems with Loss and Gain
Localization of the States of a PT-symmetric Double Well
Exceptional Points of Infinite Order Giving a Continuous Spectrum
Non-Hermitian $\mathcal {P}\mathcal {T}$ -Symmetric Dirac-Pauli Hamiltonians with Real Energy Eigenvalues in the Magnetic Field
Global Existence of Solutions to Coupled $\mathcal {PT}$ -Symmetric Nonlinear Schrödinger Equations
Delta-Type Solutions for the Non-Hermitian System of Induction Equations
Reciprocity in Parity Violating Non-Hermitian Systems
Green’s Functions at Exceptional Points
$\mathcal {P}\mathcal {T}$ -Symmetric Dimer in a Generalized Model of Coupled Nonlinear Oscillators
Singular Mapping for a PT-Symmetric Sinusoidal Optical Lattice at the Symmetry-Breaking Threshold
Coherent Perfect Absorption in 𝓟𝓣 Symmetric Optical Lattice
Global-Local Algebraic Quantization of a Two-Dimensional Non-Hermitian Potential
Dominant Weight Multiplicities in Hybrid Characters of B $_{ n }$, C $_{ n }$, F $_{4}$, G $_{2}$
Spontaneous PT-Symmetry Breaking for Systems of Noncommutative Euclidean Lie Algebraic Type
A New Generalized Schur-Weyl Duality
On a Fatal Error in Tachyonic Physics
From Quantum Discord and Quantum Entanglement to Local Hidden Variable Models
Supersymmetric Model of a Bose-Einstein Condensate in a 𝓟𝓣-Symmetric Double-delta Trap
The Spectrum of a Harmonic Oscillator Operator Perturbed by Point Interactions
Construction of Hardy Spaces on Riemann Surfaces with Boundaries
Finite element Calculations of $\mathcal {P}\mathcal {T}$ -Symmetric Bose-Einstein Condensates
$\mathcal {D}$ -Deformed Harmonic Oscillators
Spin Entanglement with $\mathcal {PT}$ Symmetric Hamiltonian in a Curved Static Space-Time
Pions and Excited Scalars in Minkowski Space DSBSE Formalism
On the Pseudospectrum of the Harmonic Oscillator with Imaginary Cubic Potential
Hilbert Space Inner Products for $\mathcal {PT}$ -symmetric Su-Schrieffer-Heeger Models
Two-Electron Resonances in Quasi-One Dimensional Quantum Dots with Gaussian Confinement
Pseudo-Hermitian Interaction Between an Oscillator and a Spin-1/2 Particle in an External Magnetic Field: A Path Integral Approach
International Journal of Theoretical Physics : Volume 54, Issue 10, October 2015
International Journal of Theoretical Physics : Volume 54, Issue 9, September 2015
International Journal of Theoretical Physics : Volume 54, Issue 8, August 2015
International Journal of Theoretical Physics : Volume 54, Issue 7, July 2015
International Journal of Theoretical Physics : Volume 54, Issue 6, June 2015
International Journal of Theoretical Physics : Volume 54, Issue 5, May 2015
International Journal of Theoretical Physics : Volume 54, Issue 4, April 2015
International Journal of Theoretical Physics : Volume 54, Issue 3, March 2015
International Journal of Theoretical Physics : Volume 54, Issue 2, February 2015
International Journal of Theoretical Physics : Volume 54, Issue 1, January 2015
International Journal of Theoretical Physics : Volume 53
International Journal of Theoretical Physics : Volume 52
International Journal of Theoretical Physics : Volume 51
International Journal of Theoretical Physics : Volume 50
International Journal of Theoretical Physics : Volume 49
International Journal of Theoretical Physics : Volume 48
International Journal of Theoretical Physics : Volume 47
International Journal of Theoretical Physics : Volume 46
International Journal of Theoretical Physics : Volume 45
International Journal of Theoretical Physics : Volume 44
International Journal of Theoretical Physics : Volume 43
International Journal of Theoretical Physics : Volume 42
International Journal of Theoretical Physics : Volume 41
International Journal of Theoretical Physics : Volume 40
International Journal of Theoretical Physics : Volume 39
International Journal of Theoretical Physics : Volume 38
International Journal of Theoretical Physics : Volume 37
International Journal of Theoretical Physics : Volume 36

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Open Quantum Systems with Loss and Gain

Content Provider Springer Nature Link
Author Eleuch, Hichem Rotter, Ingrid
Copyright Year 2014
Abstract We consider different properties of small open quantum systems coupled to an environment and described by a non-Hermitian Hamilton operator. Of special interest is the non-analytical behavior of the eigenvalues in the vicinity of singular points, the so-called exceptional points (EPs), at which the eigenvalues of two states coalesce and the corresponding eigenfunctions are linearly dependent from one another. The phases of the eigenfunctions are not rigid in approaching an EP and providing therewith the possibility to put information from the environment into the system. All characteristic properties of non-Hermitian quantum systems hold true not only for natural open quantum systems that suffer loss due to their embedding into the continuum of scattering wavefunctions. They appear also in systems coupled to different layers some of which provide gain to the system.Thereby gain and loss, respectively, may be fixed inside every layer, i.e. characteristic of it.
Starting Page 3877
Ending Page 3888
Page Count 12
File Format PDF
ISSN 00207748
Journal International Journal of Theoretical Physics
Volume Number 54
Issue Number 11
e-ISSN 15729575
Language English
Publisher Springer US
Publisher Date 2014-10-24
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Open quantum systems PT Symmetry Exceptional points Phase rigidity Loss and gain in open quantum systems Physics Quantum Physics Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics
Content Type Text
Resource Type Article
Subject Physics and Astronomy Mathematics
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