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Thermodynamics entails a set of mathematical conditions on quantum Markovian dynamics. In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system…

Quantum Physics · Physics 2021-04-07 Roie Dann , Ronnie Kosloff

A model of open economics composed of producers and speculators is investigated by numerical simulations. The capital flows from the environment to the producers and from them to the speculators. The price fluctuations are suppressed by the…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina , Yi-Cheng Zhang

In the over-the-counter market in derivatives, we sometimes see large numbers of traders taking the same position and risk. When there is this kind of concentration in the market, the position impacts the pricings of all other derivatives…

Pricing of Securities · Quantitative Finance 2016-12-05 Jun Maeda , Saul D. Jacka

Recent experimental and theoretical developments in many-body quantum systems motivate the study of their out-of-equilibrium properties through multi-time correlation functions. We consider the dynamics of higher-order out-of-time-order…

Quantum Physics · Physics 2025-06-24 Felix Fritzsch , Pieter W. Claeys

We address the nonadiabatic quantum dynamics of macrosystems with several coupled electronic states, taking into account the possibility of multi-state conical intersections. The general situation of an arbitrary number of states and…

Chemical Physics · Physics 2009-11-13 Etienne Gindensperger , Lorenz S. Cederbaum

Involving effects of media, opinion leader and other agents on the opinion of individuals of market society, a trader based model is developed and utilized to simulate price via supply and demand. Pronounced effects are considered with…

Physics and Society · Physics 2009-11-11 Caglar Tuncay

We briefly introduce a new promising field of applications of statistical physics, opinion dynamics, where the systems at study are social groups or communities and the atoms/spins are the individuals (or agents) belonging to such groups.…

Statistical Mechanics · Physics 2017-08-23 Santo Fortunato

The aim of this work is to put forward a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. After showing the formal equivalence linking econometric multinomial logit models to equilibrium…

Physics and Society · Physics 2009-07-16 Ignacio Gallo

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi

Integrity of elections is vital to democratic systems, but it is frequently threatened by malicious actors. The study of algorithmic complexity of the problem of manipulating election outcomes by changing its structural features is known as…

Computer Science and Game Theory · Computer Science 2020-07-21 Andrew Estornell , Sanmay Das , Edith Elkind , Yevgeniy Vorobeychik

It is shown that statistical mechanics is applicable to isolated quantum systems with finite numbers of particles, such as complex atoms, atomic clusters, or quantum dots in solids, where the residual two-body interaction is sufficiently…

Statistical Mechanics · Physics 2016-08-31 V. V. Flambaum , A. A. Gribakina , G. F. Gribakin , I. V. Ponomarev

We expect that democracy enables us to utilize collective intelligence such that our collective decisions build and enhance social welfare, and such that we accept their distributive and normative consequences. Collective decisions are…

Physics and Society · Physics 2021-04-06 Jan Lorenz , Martin Neumann

We show that the dynamics of a driven quantum system weakly coupled to the environment can exhibit two distinct regimes. While the relaxation basis is usually determined by the system+drive Hamiltonian (system-governed dynamics), we find…

Mesoscale and Nanoscale Physics · Physics 2013-04-16 S. Gasparinetti , P. Solinas , S. Pugnetti , R. Fazio , J. P. Pekola

Numerous models in opinion dynamics focus on the temporal dynamics within a single electoral unit (e.g., country). The empirical observations, on the other hand, are often made across multiple electoral units (e.g., polling stations) at a…

Physics and Society · Physics 2019-10-11 Aleksejus Kononovicius

We study port-Hamiltonian systems on a familiy of intervals and characterise all boundary conditions leading to $m$-accretive realisations of the port-Hamiltonian operator and thus to generators of contractive semigroups. The proofs are…

Functional Analysis · Mathematics 2021-06-22 Rainer Picard , Sascha Trostorff , Bruce Watson , Marcus Waurick

We present a simple derivation of a Feynman-Kac type formula to study fermionic systems. In this approach the real time or the imaginary time dynamics is expressed in terms of the evolution of a collection of Poisson processes. A computer…

High Energy Physics - Lattice · Physics 2007-05-23 Matteo Beccaria , Carlo Presilla , Gian Fabrizio De Angelis , Giovanni Jona-Lasinio

"Quantum mechanics must be regarded as open systems. On one hand, this is due to the fact that, like in classical physics, any realistic system is subjected to a coupling to an uncontrollable environment which influences it in a…

Quantum Physics · Physics 2007-05-23 S. Nicolosi

We derive a system of stochastic differential equations simulating the dynamics of the three agent groups with herding interaction. Proposed approach can be valuable in the modeling of the complex socio-economic systems with similar…

Statistical Finance · Quantitative Finance 2018-10-17 Vygintas Gontis , Aleksejus Kononovicius

We here discuss the process of opinion formation in an open community where agents are made to interact and consequently update their beliefs. New actors (birth) are assumed to replace individuals that abandon the community (deaths). This…

Physics and Society · Physics 2007-12-07 Timoteo Carletti , Duccio Fanelli , Alessio Guarino , Franco Bagnoli , Andrea Guazzini

We derive an exact probabilistic representation for the evolution of a Hubbard model with site- and spin-dependent hopping coefficients and site-dependent interactions in terms of an associated stochastic dynamics of a collection of Poisson…