Stochastic Multi Configuration Time-Dependent Hartree for Dissipative Quantum Dynamics with Strong Intramolecular Coupling

• URL: http://arxiv.org/abs/2206.08241v1
• Date: Thu, 16 Jun 2022 15:19:35 GMT
• Title: Stochastic Multi Configuration Time-Dependent Hartree for Dissipative Quantum Dynamics with Strong Intramolecular Coupling
• Authors: Souvik Mandal, Fabien Gatti, Oussama Bindech, Roberto Marquardt and Jean Christophe Tremblay
• Abstract summary: We explore the dissipation dynamics of a strongly coupled multidimensional contact with a Markovian bath following a system-bath approach. The method proved to yield thermalized ensembles of wave packets when intramolecular coupling is weak. New Lindblad dissipative operators are constructed as linear combinations of the system coordinates and associated momenta.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this article, we explore the dissipation dynamics of a strongly coupled multidimensional system in contact with a Markovian bath following a system-bath approach. We use in this endeavour the recently developed stochastic Multi-Configuration Time-Dependent Hartree approach within the Monte Carlo wave packet formalism [J.Chem.Phys.156, 094109 (2022)]. The method proved to yield thermalized ensembles of wave packets when intramolecular coupling is weak. To treat strongly coupled systems, new Lindblad dissipative operators are constructed as linear combinations of the system coordinates and associated momenta. These are obtained by an unitary transformation to a normal mode representation, which reduces intermode coupling up to second order. Additionally, we use combinations of generalized raising/lowering operators to enforce the Boltzmann distribution in the dissipation operators, which yield perfect thermalization in the harmonic limit. The two ansatz are tested using a model two-dimensional hamiltonian parameterized to disentangle the effects of intramolecular potential coupling, of strong mode mixing observed in Fermi resonances, and of anharmonicity.

Related papers

• Predicting correlations in superradiant emission from a cascaded quantum system [0.0]
  A novel type of cascaded quantum system has been realized using nanofiber-coupled cold atomic ensembles. We develop a new simulation technique based on the truncated Wigner approximation for spins. Our simulation tool can predict the second-order quantum coherence function, $g(2)$, along with other correlators of the light field emitted by a strongly excited cascaded system of two-level emitters.
  arXiv  Detail & Related papers  (2024-07-02T10:51:40Z)
• Generation of C-NOT, SWAP, and C-Z Gates for Two Qubits Using Coherent and Incoherent Controls and Stochastic Optimization [56.47577824219207]
  We consider a general form of the dynamics of open quantum systems determined by the Gorini-Kossakowsky-Sudarchhan-Lindblad type master equation. We analyze the control problems of generating two-qubit C-NOT, SWAP, and C-Z gates using piecewise constant controls and optimization.
  arXiv  Detail & Related papers  (2023-12-09T17:55:47Z)
• Unifying Emergent Hydrodynamics and Lindbladian Low Energy Spectra across Symmetries, Constraints, and Long-Range Interactions [0.0]
  We identify emergent hydrodynamics governing charge transport in Brownian random circuits with various symmetries, constraints, and ranges of interactions. Our approach provides a general and versatile framework to qualitatively understand the dynamics of conserved operators under random unitary time evolution.
  arXiv  Detail & Related papers  (2023-04-25T17:59:03Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
  We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
  arXiv  Detail & Related papers  (2022-07-08T11:16:29Z)
• Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model [0.0]
  We investigate the equilibrium properties and relaxation features of the dissipative quantum Rabi model. We show that, in the Ohmic regime, a Beretzinski-Kosterlitz-Thouless quantum phase transition occurs by varying the coupling strength.
  arXiv  Detail & Related papers  (2022-05-23T18:13:10Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Heisenberg treatment of multiphoton pulses in waveguide QED with time-delayed feedback [62.997667081978825]
  We propose a projection onto a complete set of states in the Hilbert space to decompose the multi-time correlations into single-time matrix elements. We consider the paradigmatic example of a two-level system that couples to a semi-infinite waveguide and interacts with quantum light pulses.
  arXiv  Detail & Related papers  (2021-11-04T12:29:25Z)
• Bosonic Quantum Dynamics Following Colliding Potential Wells [0.0]
  We investigate the correlated non-equilibrium quantum dynamics of two bosons confined in two colliding and uniformly accelerated Gaussian wells. Despite the comparatively weak interaction strengths employed in this work, we identify strong inter-particle correlations by analyzing the corresponding Von Neumann entropy.
  arXiv  Detail & Related papers  (2021-02-02T14:59:08Z)
• Sub-system quantum dynamics using coupled cluster downfolding techniques [0.0]
  We discuss extending the sub-system embedding sub-algebra coupled cluster (SESCC) formalism and the double unitary coupled cluster (DUCC) Ansatz to the time domain. Using these formalisms, it is possible to calculate the energy of the entire system as an eigenvalue of downfolded/effective Hamiltonian in the active space. It can also be shown that downfolded Hamiltonians integrate out Fermionic degrees of freedom that do not correspond to the physics encapsulated by the active space.
  arXiv  Detail & Related papers  (2020-03-21T03:11:10Z)

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.