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Quantum molecular dynamics requires an accurate representation of the molecular potential energy surface from a minimal number of electronic structure calculations, particularly for nonadiabatic dynamics where excited states are required.…

Chemical Physics · Physics 2016-08-24 Charles W. Heaps , David A. Mazziotti

At non-zero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for…

Quantum Physics · Physics 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin

We study quantum mechanics in the stochastic formulation, using the functional integral approach. The noise term enters the classical action as a local contribution of anticommuting fields. The partition function is not invariant under…

High Energy Physics - Lattice · Physics 2013-11-15 S. Nicolis

The action of the quantum mechanical volume operator, introduced in connection with a symmetric representation of the three-body problem and recently recognized to play a fundamental role in discretized quantum gravity models, can be given…

Quantum Physics · Physics 2013-10-22 Vincenzo Aquilanti , Dimitri Marinelli , Annalisa Marzuoli

In the Kogut-Susskind formulation of lattice gauge theories, a set of quantum numbers resides at the ends of each link to characterize the vertex-local gauge field. We discuss the role of these quantum numbers in propagating correlations…

Quantum Physics · Physics 2022-03-24 Anthony Ciavarella , Natalie Klco , Martin J. Savage

Quantum dynamics simulation on analog quantum simulators and digital quantum computer platforms has emerged as a powerful and promising tool for understanding complex non-equilibrium physics. However, the impact of quantum noise on the…

Quantum Physics · Physics 2025-12-10 Yu-Qin Chen , Shi-Xin Zhang , Shengyu Zhang

A direct comparison of quantum and classical dynamical systems can be accomplished through the use of distribution functions. This is useful for both fundamental investigations such as the nature of the quantum-classical transition as well…

Quantum Physics · Physics 2007-05-23 Salman Habib

We explore the use of non homogenous noise kernels in Gaussian process modelling to improve the potential energy curve models describing stochastic electronic structure data. We use the same noise kernels on energy curves describing…

Chemical Physics · Physics 2023-01-02 Fabio E. A. Albertani , Alex J. W. Thom

We investigate a stochastic approach to non-equilibrium quantum spin systems based on recent insights linking quantum and classical dynamics. Exploiting a sequence of exact transformations, quantum expectation values can be recast as…

Statistical Mechanics · Physics 2019-01-31 S. De Nicola , B. Doyon , M. J. Bhaseen

New generations of ultracold-atom experiments are continually raising the demand for efficient solutions to optimal control problems. Here, we apply Bayesian optimization to improve a state-preparation protocol recently implemented in an…

Quantum Gases · Physics 2024-07-03 Tizian Blatz , Joyce Kwan , Julian Léonard , Annabelle Bohrdt

The application of a random modulation of a system parameter usually increases decoherence effects. Here we show how, employing an appropriate stochastic modulation, it is instead possible to preserve the quantum coherence of a system.

Quantum Physics · Physics 2009-11-07 Stefano Mancini , David Vitali , Paolo Tombesi , Rodolfo Bonifacio

Statistical thermodynamics delivers the probability distribution of the equilibrium state of matter through the constrained maximization of a special functional, entropy. Its elegance and enormous success have led to numerous attempts to…

Statistical Mechanics · Physics 2023-06-22 Themis Matsoukas

We analyze constrained quantum systems where the dynamics do not preserve the constraints. This is done in particular for the restriction of a quantum particle in Euclidean n-space to a curved submanifold, and we propose a method of…

High Energy Physics - Theory · Physics 2008-11-26 Hendrik Grundling , C. A. Hurst

Many-body quantum systems are notoriously hard to study theoretically due to the exponential growth of their Hilbert space. It is also challenging to probe the quantum correlations in many-body states in experiments due to their sensitivity…

Quantum Physics · Physics 2022-10-18 Oliver Lunt , Jonas Richter , Arijeet Pal

The dynamics of a closed quantum system is often studied with the direct evolution of the Schrodinger equation. In this paper, we propose that the gauge choice (i.e. degrees of freedom irrelevant to physical observables) of the Schrodinger…

Numerical Analysis · Mathematics 2020-02-20 Dong An , Lin Lin

Quantum mechanics can be formulated in terms of phase-space functions, according to Wigner's approach. A generalization of this approach consists in replacing the density operators of the standard formulation with suitable functions, the…

Mathematical Physics · Physics 2015-06-17 Paolo Aniello

Numerical modelling of quantum effects caused by bosonic or fermionic character of secondaries produced in high energy collisions of different sorts is at the moment still far from being established. In what follows we propose novel…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

It is argued from several points of view that quantum probabilities might play a role in statistical settings. New approaches toward quantum foundations have postulates that appear to be equally valid in macroscopic settings. One such…

Quantum Physics · Physics 2025-06-26 Inge S. Helland

Optimally-shaped electromagnetic fields have the capacity to coherently control the dynamics of quantum systems and thus offer a promising means for controlling molecular transformations relevant to chemical, biological, and materials…

Quantum Physics · Physics 2021-06-08 Alicia B. Magann , Matthew D. Grace , Herschel A. Rabitz , Mohan Sarovar

The new scheme employed (throughout the thermodynamic phase space), in the statistical thermodynamic investigation of classical systems, is extended to quantum systems. Quantum Nearest Neighbor Probability Density Functions are formulated…

Statistical Mechanics · Physics 2015-06-25 U. F. Edgal , D. L. Huber