Quantum mechanical concepts of coherent states in biological systems

1996 ◽  
Vol 41 (1) ◽  
pp. 19-26 ◽  
Author(s):  
T.M. Wu
Keyword(s):  
Coherent States ◽  
Biological Systems ◽  
Quantum Mechanical

scholarly journals Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Classical Limit ◽  
Coherent States ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Wigner Functions ◽  
Quantum Mechanical Oscillators ◽  
Mechanical Oscillators ◽  
Space Noncommutativity

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

scholarly journals Groupoids and Coherent States

2019 ◽  
Vol 26 (04) ◽  
pp. 1950017 ◽  
Author(s):  
F. di Cosmo ◽  
A. Ibort ◽  
G. Marmo
Keyword(s):  
Hilbert Space ◽  
Harmonic Oscillator ◽  
Coherent States ◽  
Quantum Mechanical ◽  
Natural Setting ◽  
Invariant Subset ◽  
Quantum Mechanical System ◽  
Generalized Coherent States ◽  
Invertible Elements ◽  
Groupoid Algebra

Schwinger’s algebra of selective measurements has a natural interpretation in terms of groupoids. This approach is pushed forward in this paper to show that the theory of coherent states has a natural setting in the framework of groupoids. Thus given a quantum mechanical system with associated Hilbert space determined by a representation of a groupoid, it is shown that any invariant subset of the group of invertible elements in the groupoid algebra determines a family of generalized coherent states provided that a completeness condition is satisfied. The standard coherent states for the harmonic oscillator as well as generalized coherent states for f-oscillators are exemplified in this picture.

Nonclassical properties and polarization degree of photon-subtracted entangled nonlinear coherent states

2019 ◽  
Vol 33 (21) ◽  
pp. 1950230 ◽  
Author(s):  
A. Dehghani ◽  
B. Mojaveri ◽  
M. Aryaie
Keyword(s):  
Coherent States ◽  
General Analysis ◽  
Degree Of Polarization ◽  
Polarization Degree ◽  
Photon Statistics ◽  
Quantum Mechanical ◽  
Entanglement Dynamics ◽  
Nonclassical Properties ◽  
Insight Into

As in two previous papers where nonclassical properties and entanglement dynamics were studied for entangled nonlinear coherent states (ENCS) [D. Afshar and A. Anbaraki, J. Opt. Soc. Am. B 33, 558 (2016).] and for photon-added entangled nonlinear coherent states (PAENCS) [A. Anbaraki, D. Afshar and M. Jafarpour, Eur. Phys. J. Plus 133, 2 (2018).], we study quantum mechanical treatments of photon-subtracted entangled nonlinear coherent states (PSENCS) introduced through applying annihilation operators on the ENCS, where the related nonlinearity functions are assumed to be harmonious. To gain insight into the effectiveness of photon subtracting from ENCS and comparing with the case already discussed as the PAENCS, we present a general analysis of nonclassical properties such as photon statistics and degree of polarization. We also derive the concurrence measure to quantify the entanglement of these states and look for conditions that provide information on whether they become maximally entangled. As a result, we can see that the photon depletion number m plays an important role in nonclassical effects. Especially, depending on whether the photon depletion number m is even or odd, one can observe different nonclassical effects.

scholarly journals QUANTUM TELEPORTATION WITH PAIR-COHERENT STATES

2007 ◽  
Vol 05 (01n02) ◽  
pp. 17-22 ◽  
Author(s):  
AURÉL GÁBRIS ◽  
GIRISH S. AGARWAL
Keyword(s):  
Coherent State ◽  
Quantum Teleportation ◽  
Coherent States ◽  
Continuous Variable ◽  
Quantum Mechanical ◽  
Variable Theory ◽  
Hidden Variable ◽  
Mechanical Explanation ◽  
Pair Coherent State ◽  
Local Hidden Variable

Recently, it has been argued that all presently performed continuous variable quantum teleportation experiments could be explained using a local hidden variable theory. In this paper, we study a modification of the original protocol which requires a fully quantum mechanical explanation even when coherent states are teleported. Our calculations of the fidelity of teleportation using a pair-coherent state under ideal conditions suggest that fidelity above the required limit of 1/2 may be achievable in an experiment also.

Photo-count statistics of quantum-mechanical superpositions of coherent states

1995 ◽  
Vol 198 (3) ◽  
pp. 163-166 ◽  
Author(s):  
Paulina Marian ◽  
Tudor A. Marian
Keyword(s):  
Coherent States ◽  
Quantum Mechanical
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