183 citations · 669 across the 19 of their papers we have counts for
19 papers
Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model
Carlos Diaz-Mejia, Sergio Lerma-Hernandez, Jorge G. Hirsch
Quantum chaos in isolated quantum systems is intimately linked to thermalization and the rapid relaxation of observables. Although the spectral properties of the chaotic phase in t…
Diagnosing Thermalization via Participation Ratio in Disordered Bosonic Chains
Javier de la Cruz, Carlos Diaz-Mejia, Sergio Lerma-Hernandez +1
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 ener…
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…
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…
Avoided crossings and dynamical tunneling close to excited-state quantum phase transitions
D. J. Nader, C. A. González-Rodríguez, S. Lerma-Hernández
Using the Wherl entropy, we study the delocalization in phase-space of energy eigenstates in the vicinity of avoided crossing in the Lipkin-Meshkov-Glick model. These avoided cross…
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 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 scarring in a spin-boson system: fundamental families of periodic orbits
Saúl Pilatowsky-Cameo, David Villaseñor, Miguel A. Bastarrachea-Magnani +3
As the name indicates, a periodic orbit is a solution for a dynamical system that repeats itself in time. In the regular regime, periodic orbits are stable, while in the chaotic re…
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…
Trigonometric SU(N) Richardson-Gaudin models and dissipative multi-level atomic systems
Sergio Lerma-Hernández, Alvaro Rubio-García, Jorge Dukelsky
We derive the exact solution of a system of N-level atoms in contact with a Markovian reservoir. The resulting Liouvillian expressed in a vectorized basis is mapped to an SU(N) tri…
Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
Saúl Pilatowsky-Cameo, Jorge Chávez-Carlos, Miguel A. Bastarrachea-Magnani +4
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 correlator…
Integrable model of a -wave bosonic superfluid
Sergio Lerma-Hernandez, Jorge Dukelsky, Gerardo Ortiz
We present an exactly-solvable -wave pairing model for two bosonic species. The model is solvable in any spatial dimension and shares some commonalities with the Richar…
Dynamical signatures of quantum chaos and relaxation timescales in a spin-boson system
S. Lerma-Hernández, D. Villaseñor, M. A. Bastarrachea-Magnani +3
Quantum systems whose classical counterparts are chaotic typically have highly correlated eigenvalues and level statistics that coincide with those from ensembles of full random ma…
Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
Jorge Chávez-Carlos, B. López-del-Carpio, Miguel A. Bastarrachea-Magnani +4
The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as a quantum signature of classical chaos. The growth rate is expected to coincide with the cl…
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…
Classical chaos in atom-field systems
J. Chávez-Carlos, M. A. Bastarrachea-Magnani, S. Lerma-Hernández +1
The relation between the onset of chaos and critical phenomena, like Quantum Phase Transitions (QPT) and Excited-State Quantum Phase transitions (ESQPT), is analyzed for atom-field…