Energy-Conserving Coupled Trajectory Mixed Quantum Classical Dynamics
- URL: http://arxiv.org/abs/2303.01376v1
- Date: Thu, 2 Mar 2023 16:01:44 GMT
- Title: Energy-Conserving Coupled Trajectory Mixed Quantum Classical Dynamics
- Abstract summary: We propose a modified algorithm, CTMQC-E, which redefines the integrated force in the coupled-trajectory term so to restore energy conservation.
We demonstrate its accuracy on scattering in Tully's extended coupling region model and photoisomerization in a retinal chromophore model.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The coupled-trajectory mixed quantum classical method (CTMQC), derived from
the exact factorization approach, has successfully predicted photo-chemical
dynamics in a number of interesting molecules, capturing population transfer
and decoherence from first-principles. However, due to the approximations made,
CTMQC does not guarantee energy conservation. We propose a modified algorithm,
CTMQC-E, which redefines the integrated force in the coupled-trajectory term so
to restore energy conservation, and demonstrate its accuracy on scattering in
Tully's extended coupling region model and photoisomerization in a retinal
chromophore model.
Related papers
- Far-field spatial coherence driven by lossy objects: first-principles approach unifying scattering of quantum light and thermal emission [51.56484100374058]
We develop a first-principles framework based on the modified Langevin noise formalism to unify the scattering of quantum light and the intrinsic thermal emission of finite dissipative objects.<n>Applying this framework across optical regimes, we determine operational bounds for lossy quantum photonics.
arXiv Detail & Related papers (2026-07-01T09:04:32Z) - A unified quantum computing quantum Monte Carlo framework through structured state preparation [0.0]
We extend Quantum Computing Quantum Monte Carlo (QCQMC) beyond ground-state energy estimation.<n>We show that QCQMC can address excited-state spectra via Variational Fast Forwarding and the Variational Unitary Matrix Product Operator (VUMPO)<n> Benchmarks on molecular, condensed-matter, nuclear-structure, and graph-optimization problems demostrate that the QMC diffusion step consistently improves the energy accuracy of the underlying state-preparation method.
arXiv Detail & Related papers (2026-03-26T15:59:54Z) - Reduction of thermodynamic uncertainty by a virtual qubit [5.087975072720057]
thermodynamic uncertainty relation (TUR) imposes a constraint between current fluctuations and entropy production.<n>We show that the steady-state currents and entropy production can be fully reproduced by an effective classical Markov process.
arXiv Detail & Related papers (2026-01-15T14:24:01Z) - Classically Prepared, Quantumly Evolved: Hybrid Algorithm for Molecular Spectra [41.99844472131922]
We introduce a hybrid classical-quantum algorithm to compute dynamical correlation functions and excitation spectra in many-body quantum systems.<n>The method combines classical preparation of a perturbed ground state with short-time quantum evolution of product states sampled from it.
arXiv Detail & Related papers (2025-10-28T19:27:12Z) - Equilibrium Matching: Generative Modeling with Implicit Energy-Based Models [52.74448905289362]
EqM is a generative modeling framework built from an equilibrium dynamics perspective.<n>By replacing time-conditional velocities with a unified equilibrium landscape, EqM offers a tighter bridge between flow and energy-based models.
arXiv Detail & Related papers (2025-10-02T17:59:06Z) - KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches [43.872190335490515]
This paper introduces KITINet, a novel architecture that reinterprets feature propagation through the lens of non-equilibrium particle dynamics.<n>At its core, we propose a residual module that models update as the evolution of a particle system.<n>This formulation mimics particle collisions and energy exchange, enabling adaptive feature refinement via physics-informed interactions.
arXiv Detail & Related papers (2025-05-23T13:58:29Z) - Quantum Mpemba effect without global symmetries [0.3903025330856988]
We show that the quantum Mpemba effect (QME) is ubiquitous in non-integrable many-body systems lacking global symmetries.<n>Our findings provide a unified framework for the QME, linking it with classical thermal relaxation and phenomena such as prethermalization and weak ergodicity breaking.
arXiv Detail & Related papers (2025-05-22T18:00:01Z) - Work Statistics and Quantum Trajectories: No-Click Limit and non-Hermitian Hamiltonians [50.24983453990065]
We present a framework for quantum work statistics in continuously monitored quantum systems.
Our approach naturally incorporates non-Hermitian dynamics arising from quantum jump processes.
We illustrate our theoretical framework by analyzing a one-dimensional transverse-field Ising model under local spin monitoring.
arXiv Detail & Related papers (2025-04-15T23:21:58Z) - Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Stabilised Coupled Trajectory Mixed Quantum Classical Algorithm with
Improved Energy Conservation: CTMQC-EDI [0.0]
We show that the CTMQC-EDI algorithm has greatly improved total energy conservation and negligible spurious population transfer at all times.
CTMQC-EDI shows promise as a numerically robust non-adiabatic dynamics technique that accounts for decoherence from first principles.
arXiv Detail & Related papers (2023-10-10T18:10:26Z) - Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it.
We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z) - A self-consistent field approach for the variational quantum
eigensolver: orbital optimization goes adaptive [52.77024349608834]
We present a self consistent field approach (SCF) within the Adaptive Derivative-Assembled Problem-Assembled Ansatz Variational Eigensolver (ADAPTVQE)
This framework is used for efficient quantum simulations of chemical systems on nearterm quantum computers.
arXiv Detail & Related papers (2022-12-21T23:15:17Z) - Non-Linear Correlation Functions and Zero-Point Energy Flow in Mixed
Quantum-Classical Semiclassical Dynamics [0.0]
Mixed Quantum Classical (MQC)-IVR is a recently introduced semiclassical framework that allows for selective quantization of the modes of a complex system.
In the quantum limit, MQC reproduces the semiclassical Double Herman-Kluk results, accurately capturing nuclear quantum coherences and zero-point energy.
However, in the classical limit, while MQC mimics the Husimi-IVR for real-time correlation functions with linear operators, it is significantly less accurate for non-linear correlation functions with errors even at time zero.
arXiv Detail & Related papers (2022-11-04T14:21:31Z) - Efficient Quantum Analytic Nuclear Gradients with Double Factorization [0.0]
We report a Lagrangian-based approach for evaluating relaxed one- and two-particle reduced density matrices from double factorized Hamiltonians.
We demonstrate the accuracy and feasibility of our Lagrangian-based approach to recover all off-diagonal density matrix elements in classically-simulated examples.
arXiv Detail & Related papers (2022-07-26T18:47:48Z) - Calculating non-linear response functions for multi-dimensional
electronic spectroscopy using dyadic non-Markovian quantum state diffusion [68.8204255655161]
We present a methodology for simulating multi-dimensional electronic spectra of molecular aggregates with coupling electronic excitation to a structured environment.
A crucial aspect of our approach is that we propagate the NMQSD equation in a doubled system Hilbert space but with the same noise.
arXiv Detail & Related papers (2022-07-06T15:30:38Z) - Quantum-Classical Hybrid Algorithm for the Simulation of All-Electron
Correlation [58.720142291102135]
We present a novel hybrid-classical algorithm that computes a molecule's all-electron energy and properties on the classical computer.
We demonstrate the ability of the quantum-classical hybrid algorithms to achieve chemically relevant results and accuracy on currently available quantum computers.
arXiv Detail & Related papers (2021-06-22T18:00:00Z) - Quantum simulating the electron transport in quantum cascade laser
structures [0.0]
We show the existence of optimal relationships between the model parameters, maximizing the particle current, the population inversion (or their product) and the stimulated emission rate.
This substantiates the concept of emulating the QCL operation mechanisms in cold-atom optical lattice simulators.
arXiv Detail & Related papers (2021-04-26T19:40:07Z) - Benchmarking adaptive variational quantum eigensolvers [63.277656713454284]
We benchmark the accuracy of VQE and ADAPT-VQE to calculate the electronic ground states and potential energy curves.
We find both methods provide good estimates of the energy and ground state.
gradient-based optimization is more economical and delivers superior performance than analogous simulations carried out with gradient-frees.
arXiv Detail & Related papers (2020-11-02T19:52:04Z) - Hybrid Quantum Annealing via Molecular Dynamics [0.0]
We introduce a Hamiltonian dynamics of the classical flux variables associated with the quantum spins of the transverse-field Ising model.
Molecular dynamics of the classical flux can be used as a powerful preconditioner to sort out the frozen and ambivalent spins for quantum annealers.
arXiv Detail & Related papers (2020-04-08T12:34:24Z)
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.