183 citations · 1.9k across the 93 of their papers we have counts for
34 papers · 1 filter
Parameter space geometry of the quartic oscillator and the double well potential: Classical and quantum description
Diego Gonzalez, Jorge Chávez-Carlos, Jorge G. Hirsch +1
We compute both analytically and numerically the geometry of the parameter space of the anharmonic oscillator employing the quantum metric tensor and its scalar curvature. A novel…
Quantum multifractality as a probe of phase space in the Dicke model
Miguel A. Bastarrachea-Magnani, David Villaseñor, Jorge Chávez-Carlos +3
We study the multifractal behavior of coherent states projected in the energy eigenbasis of the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective interac…
A Comment on "Algebraic approach to the Tavis-Cummings model with three modes of oscillation" [J. Math. Phys. 59, 073506 (2018)]
Viani S. Morales-Guzman, Jorge G. Hirsch
Choreño et al. [J. Math. Phys. 59, 073506 (2018)] reported analytic solutions to the resonant case of the Tavis-Cummings model, obtained by mapping it to a Hamiltonian with three b…
Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform
Mario A. Quiroz-Juarez, Ángel L. Corps, Rafael A. Molina +4
We experimentally study the infinite-size limit of the Dicke model of quantum optics with a parity-breaking deformation strength that couples the system to an external bosonic rese…
Chaos and Thermalization in the Spin-Boson Dicke Model
David Villaseñor, Saúl Pilatowsky-Cameo, Miguel A. Bastarrachea-Magnani +3
We present a detailed analysis of the connection between chaos and the onset of thermalization in the spin-boson Dicke model. This system has a well-defined classical limit with tw…
Persistent revivals in a system of trapped bosonic atoms
Carlos Diaz Mejia, Javier de la Cruz, Sergio Lerma-Hernandez +1
Dynamical signatures of quantum chaos are observed in the survival probability of different initial states, in a system of cold atoms trapped in a linear chain with site noise and…
Remarks on the use of objective probabilities in Bell-CHSH inequalities
Aldo F. G. Solis-Labastida, Melina Gastelum, Jorge G. Hirsch
The violation of Bell inequalities is often interpreted as showing that, if hidden variables exist, they must be contextual and non local. But they can also be explained questionin…
Effective dimensions of infinite-dimensional Hilbert spaces: A phase-space approach
Saúl Pilatowsky-Cameo, David Villaseñor, Miguel A. Bastarrachea-Magnani +2
By employing Husimi quasiprobability distributions, we show that a bounded portion of an unbounded phase space induces a finite effective dimension in an infinite dimensional Hilbe…
The violation of Bell-CHSH inequalities leads to different conclusions depending on the description used
Aldo F. G. Solis-Labastida, Melina Gastelum, Jorge G. Hirsch
Since the experimental observation of the violation of the Bell-CHSH inequalities, much has been said about the non-local and contextual character of the underlying system. But the…
Identification of quantum scars via phase-space localization measures
Saúl Pilatowsky-Cameo, David Villaseñor, Miguel A. Bastarrachea-Magnani +3
There is no unique way to quantify the degree of delocalization of quantum states in unbounded continuous spaces. In this work, we explore a recently introduced localization measur…
Quantum geometric tensor and quantum phase transitions in the Lipkin-Meshkov-Glick model
Daniel Gutiérrez-Ruiz, Diego Gonzalez, Jorge Chávez-Carlos +2
We study the quantum metric tensor and its scalar curvature for a particular version of the Lipkin-Meshkov-Glick model. We build the classical Hamiltonian using Bloch coherent stat…
Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
E. R. Castro, Jorge Chavez-Carlos, I. Roditi +2
We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we ge…
Quantum localization measures in phase space
D. Villaseñor, S. Pilatowsky-Cameo, M. A. Bastarrachea-Magnani +2
Measuring the degree of localization of quantum states in phase space is essential for the description of the dynamics and equilibration of quantum systems, but this topic is far f…
Quantum Phase Transition and Berry Phase in an Extended Dicke Model
C. A. Estrada Guerra, J. Mahecha-Gómez, J. G. Hirsch
We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optic…
Quantum chaos in a system with high degree of symmetries
Javier de la Cruz, Sergio Lerma-Hernandez, Jorge G. Hirsch
We study dynamical signatures of quantum chaos in one of the most relevant models in many-body quantum mechanics, the Bose-Hubbard model, whose high degree of symmetries yields a l…
Experimental realization of the classical Dicke model
Mario A. Quiroz-Juárez, Jorge Chávez-Carlos, José L. Aragón +2
We report the experimental implementation of the Dicke model in the semiclassical approximation, which describes a large number of two-level atoms interacting with a single-mode el…
Testing Randomness in Quantum Mechanics
Aldo C. Martínez, Aldo Solís, Rafael Díaz Hernández Rojas +3
Pseudo-random number generators are widely used in many branches of science, mainly in applications related to Monte Carlo methods, although they are deterministic in design and, t…
Analytical description of the survival probability of coherent states in regular regimes
Sergio Lerma-Hernández, Jorge Chávez-Carlos, Miguel A. Bastarrachea-Magnani +2
Using coherent states as initial states, we investigate the quantum dynamics of the Lipkin-Meshkov-Glick (LMG) and Dicke models in the semi-classical limit. They are representative…
Regularity and chaos in cavity QED
M. A. Bastarrachea-Magnani, B. López-del-Carpio, J. Chávez-Carlos +2
The interaction of a quantized electromagnetic field in a cavity with a set of two-level atoms inside can be described with algebraic Hamiltonians of increasing complexity, from th…
Adiabatic invariants for the regular region of the Dicke model
M. A. Bastarrachea-Magnani, A. Relaño, S. Lerma-Hernández +3
Adiabatic invariants are introduced and shown to provide an approximate second integral of motion for the non-integrable Dicke model, in the energy region where the system exhibits…
Quantumness, Randomness and Computability
Aldo Solis, Jorge G. Hirsch
Randomness plays a central rol in the quantum mechanical description of our interactions. We review the relationship between the violation of Bell inequalities, non signaling and r…
How random are random numbers generated using photons?
Aldo Solis, Alí M. Angulo Martinez, Roberto Ramírez Alarcón +3
Randomness is fundamental in quantum theory, with many philosophical and practical implications. In this paper we discuss the concept of algorithmic randomness, which provides a qu…
Peres Lattices and chaos in the Dicke model
Miguel Angel Bastarrachea-Magnani, Jorge G. Hirsch
Peres lattices are employed as a visual method to identify the presence of chaos in different regions of the energy spectra in the Dicke model. The coexistence of regular and chaot…
Efficient basis for the Dicke Model II: wave function convergence and excited states
Jorge G. Hirsch, Miguel A. Bastarrachea-Magnani
An extended bosonic coherent basis has been shown by Chen et al to provide numerically exact solutions of the finite-size Dicke model. The advantages in employing this basis, as co…