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19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

Showing quant-phShow all

12 papers · 1 filter

quant-ph2022★ 4 cited

Dynamical quantum phase transitions from random matrix theory

David Pérez-García, Leonardo Santilli, Miguel Tierz

We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain.…

quant-ph2021★ 3 cited

Boundaries and profiles in the Wigner formalism

Nuno Costa Dias, João Nuno Prata

We consider a quantum device contained in an interval in the context of the Weyl-Wigner formalism. This approach was originally suggested by Frensley, and is known to be plagued wi…

quant-ph2014★ 3 cited

Entanglement and separability in the noncommutative phase-space scenario

Alex E. Bernardini, Catarina Bastos, Orfeu Bertolami +2

Quantumness and separability criteria for continuous variable systems are discussed for the case of a noncommutative (NC) phase-space. In particular, the quantum nature and the ent…

quant-ph2006★ 2 cited

Deformation Quantization of Confined Systems

Nuno Costa Dias, Joao Nuno Prata

The Weyl-Wigner formulation of quantum confined systems poses several interesting problems. The energy stargenvalue equation, as well as the dynamical equation does not display the…

quant-ph2006★ 19 cited

Features of Moyal Trajectories

Nuno Costa Dias, Joao Nuno Prata

We study the Moyal evolution of the canonical position and momentum variables. We compare it with the classical evolution and show that, contrary to what is commonly found in the l…

quant-ph2003★ 8 cited

Quantum control in infinite dimensions

Witold Karwowski, R. Vilela Mendes

Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing. Conditions of controlla…

quant-ph2002★ 6 cited

Quantum sensitive dependence

V. I. Man'ko, R. Vilela Mendes

Wave functions of bounded quantum systems with time-independent potentials, being almost periodic functions, cannot have time asymptotics as in classical chaos. However, bounded qu…

quant-ph2001★ 30 cited

Quantum computation by quantum-like systems

M. A. Man'ko, V. I. Man'ko, R. Vilela Mendes

Using a quantumlike description for light propagation in nonhomogeneous optical fibers, quantum information processing can be implemented by optical means. Quantum-like bits (qulbi…

quant-ph2000★ 86 cited

Lyapunov exponent in quantum mechanics. A phase-space approach

V. I. Man'ko, R. Vilela Mendes

Using the symplectic tomography map, both for the probability distributions in classical phase space and for the Wigner functions of its quantum counterpart, we discuss a notion of…

quant-ph1997★ 6 cited

Saddle scars: Existence and applications

R. Vilela Mendes

A quantum scar is a wave function which displays an high intensity in the region of a classical unstable periodic orbit. Saddle scars are states related to the unstable harmonic mo…

quant-ph1997★ 5 cited

Collision states and scar effects in charged three-body problems

R. Vilela Mendes

Semiclassical methods form a bridge between classical systems and their quantum counterparts. An interesting phenomenon discovered in this connection is the scar effect, whereby en…

quant-ph1997★ 25 cited

On the nonlinearity interpretation of q- and f-deformation and some applications

V. I. Man'ko, R. Vilela Mendes

q-oscillators are associated to the simplest non-commutative example of Hopf algebra and may be considered to be the basic building blocks for the symmetry algebras of completely i…