Exploring exact-factorization-based trajectories for low-energy dynamics near a conical intersection

• URL: http://arxiv.org/abs/2401.14801v2
• Date: Mon, 5 Feb 2024 10:43:36 GMT
• Title: Exploring exact-factorization-based trajectories for low-energy dynamics near a conical intersection
• Authors: Lea M. Ibele, Federica Agostini
• Abstract summary: We study low-energy dynamics generated by a two-dimensional Jahn-Teller Hamiltonian in the vicinity of a conical intersection. We employ the exact factorization to understand how to model accurately low-energy dynamics in the vicinity of a conical intersection.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study low-energy dynamics generated by a two-dimensional two-state Jahn-Teller Hamiltonian in the vicinity of a conical intersection using quantum wavepacket and trajectories dynamics. Recently, these dynamics were studied by comparing the adiabatic representation and the exact factorization, with the purpose to highlight the different nature of topological- and geometric-phase effects arising in the two theoretical representation of the same problem. Here, we employ the exact factorization to understand how to model accurately low-energy dynamics in the vicinity of a conical intersection using an approximate description of the nuclear motion that uses trajectories. We find that, since nonadiabatic effects are weak but non-negligible, the trajectory-based description that invokes the classical approximation struggles to capture the correct behavior.

Related papers

• Generalized Flow Matching for Transition Dynamics Modeling [14.76793118877456]
  We propose a data-driven approach to warm-up the simulation by learning nonlinearities from local dynamics. Specifically, we infer a potential energy function from local dynamics data to find plausible paths between two metastable states. We validate the effectiveness of the proposed method to sample probable paths on both synthetic and real-world molecular systems.
  arXiv  Detail & Related papers  (2024-10-19T15:03:39Z)
• Wigner Analysis of Particle Dynamics and Decoherence in Wide Nonharmonic Potentials [0.0]
  We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential. Our result elucidates the interplay between classical and quantum physics and the impact of decoherence during nonlinear dynamics. This analytical result is instrumental to design, optimize and understand proposals using nonlinear dynamics to generate macroscopic quantum states of massive particles.
  arXiv  Detail & Related papers  (2023-07-26T11:09:45Z)
• Different Flavors of Exact-Factorization-Based Mixed Quantum-Classical Methods for Multistate Dynamics [0.0]
  We develop mixed quantum-classical methods for simulating coupled electron-ion dynamics. We compare their performance for dynamics when more than two electronic states are occupied at a given time.
  arXiv  Detail & Related papers  (2023-07-21T12:30:30Z)
• Dual symplectic classical circuits: An exactly solvable model of many-body chaos [0.0]
  We prove that two-point dynamical correlation functions are non-vanishing only along the edges of the light cones. We test our theory in a specific family of dual-symplectic circuits, describing the dynamics of a classical Floquet spin chain.
  arXiv  Detail & Related papers  (2023-07-04T15:48:41Z)
• Driven-dissipative topological phases in parametric resonator arrays [62.997667081978825]
  We find two phases of topological amplification, both with directional transport and exponential gain with the number of sites, and one of them featuring squeezing. We characterize the resilience to disorder of the different phases and their stability, gain, and noise-to-signal ratio. We discuss their experimental implementation with state-of-the-art techniques.
  arXiv  Detail & Related papers  (2022-07-27T18:00:05Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• Link between \emph{Zitterbewegung} and topological phase transition [6.390959580779527]
  We investigate the relationship between emphZitterbewegung and the topology of systems that reflect the properties of the local and whole energy bands. By studying emphZitterbewegung dynamics before and after topological phase transition, we find that the direction of quasiparticles' oscillation can well reflect topological properties.
  arXiv  Detail & Related papers  (2022-01-29T17:59:08Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• Machine Learning S-Wave Scattering Phase Shifts Bypassing the Radial Schr\"odinger Equation [77.34726150561087]
  We present a proof of concept machine learning model resting on a convolutional neural network capable to yield accurate scattering s-wave phase shifts. We discuss how the Hamiltonian can serve as a guiding principle in the construction of a physically-motivated descriptor.
  arXiv  Detail & Related papers  (2021-06-25T17:25:38Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.