q-Deformed Barut–Girardello su(1, 1) coherent states and Schrödinger cat states

2017 ◽  
Vol 193 (3) ◽  
pp. 1844-1852 ◽  
Author(s):  
Yuefeng Zhao ◽  
Yan Zeng ◽  
Honggang Liu ◽  
Qi Song ◽  
Gangcheng Wang ◽  
...  
Keyword(s):  
Coherent States ◽  
Schrödinger Cat ◽  
Cat States

scholarly journals Engineering Schrödinger cat states with a photonic even-parity detector

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 239 ◽  
Author(s):  
G. S. Thekkadath ◽  
B. A. Bell ◽  
I. A. Walmsley ◽  
A. I. Lvovsky
Keyword(s):  
Time Reversal ◽  
Coherent States ◽  
Beam Splitter ◽  
Photon Number ◽  
Input State ◽  
Interference Phenomenon ◽  
Arbitrary Size ◽  
Two Component ◽  
Schrödinger Cat ◽  
Cat States

When two equal photon-number states are combined on a balanced beam splitter, both output ports of the beam splitter contain only even numbers of photons. Consider the time-reversal of this interference phenomenon: the probability that a pair of photon-number-resolving detectors at the output ports of a beam splitter both detect the same number of photons depends on the overlap between the input state of the beam splitter and a state containing only even photon numbers. Here, we propose using this even-parity detection to engineer quantum states containing only even photon-number terms. As an example, we demonstrate the ability to prepare superpositions of two coherent states with opposite amplitudes, i.e. two-component Schrödinger cat states. Our scheme can prepare cat states of arbitrary size with nearly perfect fidelity. Moreover, we investigate engineering more complex even-parity states such as four-component cat states by iteratively applying our even-parity detector.

The generalized pair coherent states and the corresponding entangled coherent states

2015 ◽  
Vol 13 (08) ◽  
pp. 1550065
Author(s):  
Won Sang Chung
Keyword(s):  
Coherent States ◽  
Density Operator ◽  
Schwarz Inequality ◽  
Bell States ◽  
Photon Statistics ◽  
Schrödinger Cat ◽  
Cat States ◽  
Reduced Density ◽  
Entangled Coherent States

In this paper, we consider the generalized Schrödinger cat states. Using these states, we obtain the corresponding quasi-Bell states and the reduced density operator. For these quasi-Bell states, we investigate the non-classical effects such as oscillatory photon statistics, sub-Poissonian property and violation of the Cauchy–Schwarz inequality.

scholarly journals A TREATMENT OF THE QUANTUM PARTIAL ENTROPIES IN THE ATOM-FIELD INTERACTION WITH A CLASS OF SCHRÖDINGER CAT STATES

2005 ◽  
Vol 03 (03) ◽  
pp. 591-602 ◽  
Author(s):  
A.-S. F. OBADA ◽  
H. A. HESSIAN ◽  
MAHMOUD ABDEL-ATY
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Stark Shift ◽  
Initial State ◽  
Field Interaction ◽  
Composite State ◽  
Quantum Dynamical ◽  
Initial States ◽  
Schrödinger Cat ◽  
Cat States

This paper is an enquiry into the circumstances under which entropy and subentropy methods can give an answer to the question of quantum entanglement in the composite state. Using a general quantum dynamical system, we obtain the analytical solution when the atom initially starts from its excited state and the field in different initial states. Different features of the entanglement are investigated when the field is initially assumed to be in a coherent state, an even coherent state (Schrödinger cate state), and a statistical mixture of coherent states. Our results show that the setting of the initial state and the Stark shift play important roles in the evolution of the sub-entropies and entanglement.

Generation of optical Schrödinger cat states in intense laser–matter interactions

2021 ◽  
Vol 17 (10) ◽  
pp. 1104-1108 ◽  
Author(s):  
M. Lewenstein ◽  
M. F. Ciappina ◽  
E. Pisanty ◽  
J. Rivera-Dean ◽  
P. Stammer ◽  
...  
Keyword(s):  
Intense Laser ◽  
Schrödinger Cat ◽  
Cat States

scholarly journals Phase-space studies of backscattering diffraction of defective Schrödinger cat states

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Damian Kołaczek ◽  
Bartłomiej J. Spisak ◽  
Maciej Wołoszyn
Keyword(s):  
Phase Space ◽  
Dispersive Medium ◽  
Wigner Distribution ◽  
Interference Term ◽  
Wigner Distribution Function ◽  
The Subject ◽  
Schrödinger Cat ◽  
Cat States ◽  
Schrodinger Cat State ◽  
Space Approach

AbstractThe coherent superposition of two well separated Gaussian wavepackets, with defects caused by their imperfect preparation, is considered within the phase-space approach based on the Wigner distribution function. This generic state is called the defective Schrödinger cat state due to this imperfection which significantly modifies the interference term. Propagation of this state in the phase space is described by the Moyal equation which is solved for the case of a dispersive medium with a Gaussian barrier in the above-barrier reflection regime. Formally, this regime constitutes conditions for backscattering diffraction phenomena. Dynamical quantumness and the degree of localization in the phase space of the considered state as a function of its imperfection are the subject of the performed analysis. The obtained results allow concluding that backscattering communication based on the defective Schrödinger cat states appears to be feasible with existing experimental capabilities.

scholarly journals QUANTUM FEEDBACK FOR PROTECTION OF SCHRÖDINGER CAT STATES

2000 ◽  
Author(s):  
M. FORTUNATO ◽  
P. TOMBESI ◽  
D. VITALI ◽  
J. M. RAIMOND
Keyword(s):  
Quantum Feedback ◽  
Schrödinger Cat ◽  
Cat States

scholarly journals Testing Quantum Coherence in Stochastic Electrodynamics with Squeezed Schrödinger Cat States

Atoms ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 42 ◽  
Author(s):  
Wayne Huang ◽  
Herman Batelaan
Keyword(s):  
Quantum Mechanics ◽  
Probability Distribution ◽  
Interference Pattern ◽  
Quantum Coherence ◽  
Laser Pulses ◽  
Quantum Probability ◽  
Harmonic Oscillators ◽  
Stochastic Electrodynamics ◽  
Schrödinger Cat ◽  
Cat States

The interference pattern in electron double-slit diffraction is a hallmark of quantum mechanics. A long-standing question for stochastic electrodynamics (SED) is whether or not it is capable of reproducing such effects, as interference is a manifestation of quantum coherence. In this study, we used excited harmonic oscillators to directly test this quantum feature in SED. We used two counter-propagating dichromatic laser pulses to promote a ground-state harmonic oscillator to a squeezed Schrödinger cat state. Upon recombination of the two well-separated wavepackets, an interference pattern emerges in the quantum probability distribution but is absent in the SED probability distribution. We thus give a counterexample that rejects SED as a valid alternative to quantum mechanics.

SUPERPOSITION OF THE λ-PARAMETERIZED SQUEEZED STATES

2000 ◽  
Vol 14 (07n08) ◽  
pp. 243-250
Author(s):  
XIAO-GUANG WANG ◽  
HONGCHEN FU
Keyword(s):  
Algebraic Characterization ◽  
Squeezed States ◽  
Nonclassical Properties ◽  
Intermediate States ◽  
Schrödinger Cat ◽  
Cat States ◽  
Superposition States

The superposition states of the λ-parameterized squeezed states are introduced and investigated. These states are intermediate states interpolating between the number and Schrödinger cat states and admit algebraic characterization in terms of su(1, 1) algebra. It is shown that these states exhibit remarkable nonclassical properties.

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