Dynamics of Schrödinger cat states

Castaños, Octavio; López-Saldívar, Julio A.

doi:10.1088/1742-6596/380/1/012017

Cited by 16 publications

(23 citation statements)

References 15 publications

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“…Note that W ψ is a function of the control parameters and the system size N . We discuss typical (minimum) values of W ψ for each model, which are attained when the ground state ψ is coherent itself, and Wehrl entropy values of parity-adapted (Schrödinger cat) coherent states [72,73], which usually appear in second-order QPTs [16,17,28,30,44,45].…”

Section: Wehrl's Entropy and Ground State Qptsmentioning

confidence: 99%

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

et al. 2015

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Section: Wehrl's Entropy and Ground State Qptsmentioning

confidence: 99%

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

et al. 2015

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“…In previous works, different states associated to the irreducible representation of cyclic groups [1][2][3][4] have been defined using coherent states [38][39][40][41]. The resulting states called crystallized cat states have some interesting properties as subpoissonian photon statistics, squeezing, and antibunching [4,42,43]. Also, it has been demonstrated that they can be generated by the interaction of an atom with an electromagnetic field [17,18].…”

Section: Cyclic Coherent Statesmentioning

confidence: 99%

“…For example, the symmetries in the Hamiltonian dynamical evolution of a quantum system can be related to the definition of different conservation laws which, as in the classical theory, can be used to answer different questions. The use of symmetries in quantum mechanics, in particular the definition of states associated to point symmetry groups has been covered in several works [1][2][3][4]. Especially, the states carrying the symmetry of the cyclic group C 2 = Z/(2Z), also called odd an even cat states, have been of great interest in the past decades.…”

Section: Introductionmentioning

confidence: 99%

“…In this work, the generalization of the quantum states associated to the irreducible representations of the group whose elements are the symmetry rotations of the n-sided regular polygon, also named the cyclic group (C n = Z/(nZ)), and the group containing the rotational and reflexion symmetries of the regular polygon, i.e., the dihedral group (D n ), is presented. Some of these type of states have been previously defined using coherent states [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

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General superposition states associated to the rotational and inversion symmetries in the phase space

López-Saldívar¹

2020

Phys. Scr.

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The general quantum superposition states containing the irreducible representation of the n-dimensional groups associated to the rotational symmetry of the n-sided regular polygon i.e., the cyclic group (C n ) and the rotational and inversion symmetries of the polygon, i.e., the dihedral group (D n ) are defined and studied. It is shown that the resulting states form an n-dimensional orthogonal set of states which can lead to the finite representation of specific systems. The correspondence between the symmetric states and the renormalized states, resulting from the selective erasure of photon numbers from an arbitrary, noninvariant initial state, is also established. As an example, the general cyclic Gaussian states are presented. The presence of nonclassical properties in these states as subpoissonian photon statistics is addressed. Also, their use in the calculation of physical quantities as the entanglement in a bipartite system is discussed.

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“…Also the dynamics of the entanglement of Gaussian states of systems in a reservoir model has been studied in [33,34]. The properties of superpositions of coherent states are presented in [35,36]. A new resonant condition technique has been developed to determine experimentally the quadrature fluctuations of the light field, that is, the covariance matrix [37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Evolution and Entanglement of Gaussian States in the Parametric Amplifier

et al. 2016

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The linear time-dependent constants of motion of the parametric amplifier are obtained and used to determine in the tomographic-probability representation the evolution of a general two-mode Gaussian state. By means of the discretization of the continuous variable density matrix, the von Neumann and linear entropies are calculated to measure the entanglement properties between the modes of the amplifier. The obtained results for the nonlocal correlations are compared with those associated to a linear map of discretized symplectic Gaussian-state tomogram onto a qubit tomogram. This qubit portrait procedure is used to establish Bell-type's inequalities, which provide a necessary condition to determine the separability of quantum states, which can be evaluated through homodyne detection. Other no-signaling nonlocal correlations are defined through the portrait procedure for noncomposite systems.

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Dynamics of Schrödinger cat states

Cited by 16 publications

References 15 publications

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

General superposition states associated to the rotational and inversion symmetries in the phase space

Evolution and Entanglement of Gaussian States in the Parametric Amplifier

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