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.

Nonclassical properties of correlated two-mode Schrödinger cat states

1995 ◽  
Vol 51 (2) ◽  
pp. 1698-1701 ◽  
Author(s):  
Christopher C. Gerry ◽  
Rainer Grobe
Keyword(s):  
Nonclassical Properties ◽  
Schrödinger Cat ◽  
Cat States

scholarly journals Preparation of Schrödinger cat states of a cavity field via coupling to a superconducting charge qubit

2014 ◽  
Vol 28 (10) ◽  
pp. 1450082 ◽  
Author(s):  
Dagoberto S. Freitas ◽  
M. C. Nemes
Keyword(s):  
Nonlinear Effects ◽  
Cavity Field ◽  
Charge Qubit ◽  
Schrödinger Cat ◽  
The Creation ◽  
Cat States ◽  
Superposition States

We extend the approach in Ref. 5 [Y.-X. Liu, L. F. Wei and F. Nori, Phys. Rev. A 71 (2005) 063820] for preparing superposition states of a cavity field interacting with a superconducting charge qubit. We study effects of the nonlinearity on the creation of such states. We show that the main contribution of nonlinear effects is to shorten the time necessary to build the superposition.

TIME-DEPENDENT WIGNER DISTRIBUTION FUNCTION EMPLOYED IN SQUEEZED SCHRÖDINGER CAT STATES: |Ψ(t)〉 = N-1/2(|β〉+eiϕ|-β〉)

2009 ◽  
Vol 23 (25) ◽  
pp. 5049-5066
Author(s):  
JEONG RYEOL CHOI ◽  
KYU HWANG YEON
Keyword(s):  
Distribution Function ◽  
Harmonic Oscillator ◽  
Wigner Distribution ◽  
Time Dependent ◽  
Squeezed States ◽  
Wigner Distribution Function ◽  
Practical Applications ◽  
Schrödinger Cat ◽  
Cat States ◽  
Theory Of Invariants

The Wigner distribution function (WDF) for the time-dependent quadratic Hamiltonian system is investigated in the squeezed Schrödinger cat states with the use of Lewis–Riesenfeld theory of invariants. The nonclassical aspects of the system produced by superposition of two distinct squeezed states are analyzed with emphasis on their application into special systems beyond simple harmonic oscillator. An application of our development to the measurement of quantum state by reconstructing the WDF via Autler–Townes spectroscopy is addressed. In addition, we considered particular models such as Cadirola–Kanai oscillator, frequency stable damped harmonic oscillator, and harmonic oscillator with time-variable frequency as practical applications with the object of promoting the understanding of nonclassical effects associated with the WDF.

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.

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