Jorge G. Hirsch
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View article: Loss of integrability in a system with two-photon interactions
Loss of integrability in a system with two-photon interactions Open
Light-matter systems that exhibit two-photon interactions have emerged as powerful platforms for exploring quantum applications. In this work, we focus on the two-photon Dicke model, a system of significant experimental relevance that disp…
View article: Subtle Nuances between Quantum and Classical regimes
Subtle Nuances between Quantum and Classical regimes Open
This study explores the semiclassical limit of an integrable-chaotic bosonic many-body quantum system, providing nuanced insights into its behavior. We examine classical-quantum correspondences across different interaction regimes of boson…
View article: Diagnosing Thermalization via Participation Ratio in Disordered Bosonic Chains
Diagnosing Thermalization via Participation Ratio in Disordered Bosonic Chains Open
We study thermalization in a disordered one-dimensional interacting bosonic system described by the Aubry-Andre model using full exact diagonalization. We find a broad chaotic energy window where the system's eigenstates satisfy the Eigens…
View article: Classical and Quantum Properties of the Spin-Boson Dicke Model: Chaos, Localization, and Scarring
Classical and Quantum Properties of the Spin-Boson Dicke Model: Chaos, Localization, and Scarring Open
This review article describes major advances associated with the Dicke model, starting in the 1950s when it was introduced to explain the transition from a normal to a superradiant phase. Since then, this spin-boson interacting model has r…
View article: Parameter space geometry of the quartic oscillator and the double-well potential: classical and quantum description
Parameter space geometry of the quartic oscillator and the double-well potential: classical and quantum description Open
We compute the quantum metric tensor and its scalar curvature for the anharmonic oscillator for positive and negative quadratic potentials, where the potential displays a double well, employing exact numerical and perturbative procedures. …
View article: From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model Open
In this work, we investigate the semiclassical limit of a simple bosonic quantum many-body system exhibiting both integrable and chaotic behavior. A classical Hamiltonian is derived using coherent states. The transition from regularity to …
View article: Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform
Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform Open
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 reservoir. We focus on the dynamical consequences of such symme…
View article: Parameter space geometry of the quartic oscillator and the double well potential: Classical and quantum description
Parameter space geometry of the quartic oscillator and the double well potential: Classical and quantum description Open
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 semiclassical treatment based on a Fourier decomposition al…
View article: Quantum multifractality as a probe of phase space in the Dicke model
Quantum multifractality as a probe of phase space in the Dicke model Open
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 interaction between a single bosonic mode and a set of two-level s…
View article: A Comment on "Algebraic approach to the Tavis-Cummings model with three modes of oscillation" [J. Math. Phys. 59, 073506 (2018)]
A Comment on "Algebraic approach to the Tavis-Cummings model with three modes of oscillation" [J. Math. Phys. 59, 073506 (2018)] Open
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 bosons and applying a Bogoliubov transformation. This commen…
View article: Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform
Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform Open
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 reservoir. We focus on the dynamical consequences of such symme…
View article: Chaos and Thermalization in the Spin-Boson Dicke Model
Chaos and Thermalization in the Spin-Boson Dicke Model Open
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 two degrees of freedom, and it presents both regular and chao…
View article: Chaos and Thermalization in the Spin-Boson Dicke Model
Chaos and Thermalization in the Spin-Boson Dicke Model Open
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 two degrees of freedom, and it presents both regular and chao…
View article: Effective dimensions of infinite-dimensional Hilbert spaces: A phase-space approach
Effective dimensions of infinite-dimensional Hilbert spaces: A phase-space approach Open
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 Hilbert space. We compare our general expressions with numerical…
View article: Granular Superconductivity in Hydrides under Pressure
Granular Superconductivity in Hydrides under Pressure Open
It has been suggested that the measured magnetic properties of hydrides under pressure claimed to be high temperature superconductors indicate that the materials are granular superconductors. Such materials will show reduced or no magnetic…
View article: Persistent revivals in a system of trapped bosonic atoms
Persistent revivals in a system of trapped bosonic atoms Open
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 open boundary conditions. It is shown that chaos is present…
View article: Remarks on the use of objective probabilities in Bell-CHSH inequalities
Remarks on the use of objective probabilities in Bell-CHSH inequalities Open
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 questioning the probability space employed, or the validity of the Ko…
View article: Identification of quantum scars via phase-space localization measures
Identification of quantum scars via phase-space localization measures Open
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 measure that quantifies the portion of the classical phase space …
View article: Effective dimensions of infinite-dimensional Hilbert spaces: A phase-space approach
Effective dimensions of infinite-dimensional Hilbert spaces: A phase-space approach Open
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 Hilbert space. We compare our general expressions with numerical…
View article: Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
Quantum-classical correspondence of a system of interacting bosons in a triple-well potential Open
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 get a better understanding of the different phases of the qua…
View article: Identification of quantum scars via phase-space localization measures
Identification of quantum scars via phase-space localization measures Open
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 measure that quantifies the portion of the classical phase space …
View article: Quantum localization measures in phase space
Quantum localization measures in phase space Open
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 from being understood. There is no unique way to measure loc…
View article: Quantum geometric tensor and quantum phase transitions in the Lipkin-Meshkov-Glick model
Quantum geometric tensor and quantum phase transitions in the Lipkin-Meshkov-Glick model Open
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 states and find its stationary points. They exhibit the presenc…
View article: Influence of pairing and deformation on charge exchange transitions
Influence of pairing and deformation on charge exchange transitions Open
We describe the importance of charge-exchange reactions, and in particular Gamow-Teller transitions, first to astrophysical processes and double beta decay, and then to the understanding of nuclear structure. In our review of their role in…
View article: Quantum chaos in a system with high degree of symmetries
Quantum chaos in a system with high degree of symmetries Open
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 large number of invariant subspaces and degenerate energy le…
View article: Neutron-Proton Pairing and its Impact on Gamow-Teller Transitions
Neutron-Proton Pairing and its Impact on Gamow-Teller Transitions Open
We report a systematic study of Gamow-Teller (GT) transitions in the 2 p 1 f shell, using the nuclear shell model with a schematic Hamiltonian. The Hamiltonian used contains a quadrupole-quadrupole interaction, isoscalar ( T = 0) and isove…
View article: Influence of pairing and deformation on charge exchange transitions
Influence of pairing and deformation on charge exchange transitions Open
We describe the importance of charge-exchange reactions, and in particular Gamow-Teller transitions, in astrophysical processes and double beta decay, and in understanding of nuclear structure. We first provide an overview of the central r…
View article: Quantum Phase Transition and Berry Phase in an Extended Dicke Model
Quantum Phase Transition and Berry Phase in an Extended Dicke Model Open
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 optical medium, coupled to a single-mode quantized electromagnet…
View article: Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
Positive quantum Lyapunov exponents in experimental systems with a regular classical limit Open
Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos. The quantum-classical corresp…
View article: Influence of isoscalar and isovector pairing on Gamow-Teller transitions for nuclei in the 2p1f shell: A schematic shell model study
Influence of isoscalar and isovector pairing on Gamow-Teller transitions for nuclei in the 2p1f shell: A schematic shell model study Open
We perform a systematic study of Gamow-Teller (GT) transitions in the 2p1f shell, using the nuclear shell model with two schematic Hamiltonians. The use of the shell model provides flexibility to analyze the role of different proton-neutro…