A5049897934- Quantum Information and Cryptography
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum Mechanics and Applications
- Nuclear physics research studies
- Quantum chaos and dynamical systems
- Quantum Mechanics and Non-Hermitian Physics
- Quantum optics and atomic interactions
- Quantum Chromodynamics and Particle Interactions
- Quantum many-body systems
- Advanced Thermodynamics and Statistical Mechanics
- Advanced Chemical Physics Studies
- Particle physics theoretical and experimental studies
- Advanced NMR Techniques and Applications
- Spectroscopy and Quantum Chemical Studies
- Neutrino Physics Research
- Topological Materials and Phenomena
- Mechanical and Optical Resonators
- Atomic and Molecular Physics
- Quantum Computing Algorithms and Architecture
- Quantum, superfluid, helium dynamics
- Quantum and electron transport phenomena
- Graphene research and applications
- Nonlinear Waves and Solitons
- Molecular spectroscopy and chirality
- Statistical Mechanics and Entropy
Universidad Nacional Autónoma de México
2015-2024
Universidad de Burgos
2023-2024
Instituto de Física Teórica
2023-2024
Universidad de Granada
2015-2024
Instituto Nacional de Investigaciones Nucleares
1995-2017
Tecnológico de Monterrey
2016
Autonomous University of San Luis Potosí
2012-2014
Center for Research and Advanced Studies of the National Polytechnic Institute
1995
Instituto Politécnico Nacional
1995
United States Postal Service
1995
Recently Arima and Iachello proposed an interacting boson model of the nucleus involving six bosons, five in a d one s state. The most general interaction this can then be expressed terms Casimir operators following chains subgroups fundamental group U(6): U(6) ⊆U(5) ⊆O(5) ⊆O(3) ⊆O(2), ⊆O(6) ⊆SU(3) ⊆O(2). To determine matrix elements in, for example, basis characterized by irreducible representations first chain groups, we only need to evaluate O(6) SU(3) as others are already diagonal it....
An analysis of the classical and quantum phase transitions Lipkin-Meshkov-Glick model is presented. It shown that dynamics ruled by energy surface system. Applying catastrophe formalism to this separatrix obtained. determines regions in control parameter space where there are transitions. Special attention given compositions ground first-excited states, which well described even odd SU(2) coherent states. Phase be associated with a change wave functions from collective single-particle...
The Dicke Hamiltonian describes the simplest quantum system with atoms interacting photons: $N$ two-level inside a perfectly reflecting cavity, which allows only one electromagnetic mode. It has also been successfully employed to describe superconducting circuits that behave as artificial coupled resonator. exhibits transition superradiant phase at zero temperature. When interaction strength reaches its critical value, both number of photons and in excited states together their fluctuations,...
Abstract We discuss in general the geometric properties of qudit systems, with a particular interest thermal states.
The principle maximum entropy is used to study an ensemble finite dimensional Hamiltonian systems known average energy. These characterizations are given terms generalized diagonal Bloch vectors and invariants special unitary group $n$ dimensions. As examples, Hamiltonians written linear quadratic generators angular momentum algebra considered explicitly visualized $J=...
For algebraic models the coherent states are appropriate trial wave functions to study energy surfaces of system. The equilibrium configurations these classified by means separatrix catastrophe formalism, which is defined bifurcation and Maxwell sets. sets correspond curves in parameter space associated degenerate critical points while constitute locus for surface takes same value two or more points. As an example we dynamical symmetries interacting boson model essential space....
We show that semi-classical states adapted to the symmetry of Hamiltonian are an excellent approximation exact quantum solution ground and first excited Dicke model. Their overlap is very close 1 except in a vicinity phase transition. Furthermore, they have analytic forms terms model parameters allow us calculate analytically expectation values field matter observables. Some these differ considerably from results obtained via standard coherent states, by means Holstein-Primakoff series...
The B(E2;0(+)(1)-->2(+)(1)) values for the radioactive neutron-rich germanium isotopes (78,80)Ge and closed neutron shell nucleus 82Ge were measured at HRIBF using Coulomb excitation in inverse kinematics. These data allow a study of systematic trend between subshell closures N=40 50. B(E2) behavior approaching N=50 is similar to observed heavier isotopic chains. A comparison experimental results with model calculation demonstrates persistence gap strong sensitivity effective interaction.
Holstein and Primakoff derived long ago the boson realization of a su(2) Lie algebra for an arbitrary irreducible representation (irrep) SU(2) group. The corresponding result su(1,1)≅sp(2) is also well known. This raises question whether it possible to obtain in explicit, analytic, closed form, any integer d, sp(2d) irrep Sp(2d) group, which problem considerable physical interest. case d=2 already illustrates its full generality thus this paper we concentrate on sp(4). Dyson known, passage...
Based on the Gaussian wave packet solution for harmonic oscillator and corresponding creation annihilation operators, a generalization is presented that also applies packets with time-dependent width as they occur systems different initial conditions, frequency or in contact dissipative environment. In all these cases coherent states, position momentum uncertainties quantum mechanical energy contributions can be obtained same form if operators are expressed terms of complex variable fulfills...
We present a phase-space study of first-, second- and third-order quantum phase transitions in the Lipkin–Meshkov–Glick model by means Husimi function. By analyzing distribution zeros ground state function we have characterized each type transition this model. show that Renyi–Wehrl entropies give good description transitions. The has been done using numerical treatment variational approximation terms coherent states. Additionally, analyzed fidelity susceptibility concepts.
A new form to construct complex superpotentials that produce real energy spectra in supersymmetric quantum mechanics is presented. This based on the relation between nonlinear Ermakov equation and a second order differential of Schroedinger type. The so constructed are characterized by parameters such way they always complex-valued lead non-Hermitian Hamiltonians with spectra, whose eigenfunctions bi-orthogonal system. As applications we present partners free particle PT-symmetric can be...
A new geometric representation of qubit and qutrit states based on probability simplexes is used to describe the separability entanglement properties density matrices two qubits. The Peres--Horodecki positive partial transpose (ppt)-criterion concurrence inequalities are formulated as conditions that introduced distributions must satisfy present entanglement. four-level system, where one or inaccessible, considered an example applying elaborated approach in explicit form. areas three Triadas...
Quantum phase transitions and observables of interest the ground state in Tavis–Cummings model are analyzed, for any number atoms, by using a tensorial product coherent states. It is found that this 'trial' constitutes very good approximation to exact quantum solution, it globally reproduces expectation values matter field observables. These include population dipole moments two-level atoms squeezing parameter. Agreement field–matter entanglement fidelity measures, information theory, also...
A system of ${N}_{a}$ atoms $n$ levels interacting dipolarly with $\ensuremath{\ell}$ modes an electromagnetic field is considered. The energy surface the constructed from direct product coherent states $\mathrm{U}(n)$ in totally symmetric representation for matter times field. variational analysis shows that collective region divided into zones, inside each which only one mode contributes to ground state. In consequence, polychromatic phase diagram state naturally divides itself...
We analyze the magneto-optical conductivity (and related magnitudes like transmittance and Faraday rotation of irradiated polarized light) some elemental two-dimensional Dirac materials group IV (graphene analogues, buckled honeycomb lattices, silicene, germanene, stannane, etc.), V (phosphorene), zincblende heterostructures (like HgTe/CdTe quantum wells) near gamma points, under out-of-plane magnetic electric fields, to characterize topological-band insulator phase transitions their...