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Complete information on the equilibrium behaviour and dynamics of a quantum field theory (QFT) is provided by multipoint correlation functions. However, their theoretical calculation is a challenging problem, even for exactly solvable…

Statistical Mechanics · Physics 2018-09-19 Ivan Kukuljan , Spyros Sotiriadis , Gabor Takacs

Quantifying correlation and complexity in quantum many-body states is central to advancing theoretical and computational chemistry, physics, and quantum information science. This work introduces a novel framework, mutual correlation, based…

Chemical Physics · Physics 2025-06-10 Francesco A. Evangelista

Many proposals have been put forth for controlling quantum phenomena, including open-loop, adaptive feedback, and real-time feedback control. Each of these approaches has been viewed as operationally, and even physically, distinct from the…

Quantum Physics · Physics 2010-09-14 Alexander Pechen , Constantin Brif , Rebing Wu , Raj Chakrabarti , Herschel Rabitz

Recently, a novel operational strategy to access quantum correlation functions of the form Tr[A rho B] was provided in [F. Buscemi, M. Dall'Arno, M. Ozawa, and V. Vedral, arXiv:1312.4240]. Here we propose a realization scheme, that we call…

Quantum Physics · Physics 2015-03-30 Francesco Buscemi , Michele Dall'Arno , Masanao Ozawa , Vlatko Vedral

We develop the continuum mechanics of quantum many-body systems in the linear response regime. The basic variable of the theory is the displacement field, for which we derive a closed equation of motion under the assumption that the…

Strongly Correlated Electrons · Physics 2015-05-13 Jianmin Tao , Xianlong Gao , G. Vignale , I. V. Tokatly

Clusters of sizes ranging from two to five are studied by variational quantum Monte Carlo techniques. The clusters consist of Ar, Ne and hypothetical lighter (``$1 \over 2$-Ne") atoms. A general form of trial function is developed for which…

chem-ph · Physics 2009-10-22 Andrei Mushinski , M. P. Nightingale

We suggest a method to compute approximations to temporal correlation functions of few-body observables in chaotic many-body systems in the thermodynamic limit based on the respective Lanczos coefficients. Given the knowledge of these…

Statistical Mechanics · Physics 2025-12-18 Merlin Füllgraf , Jiaozi Wang , Robin Steinigeweg , Jochen Gemmer

After revealing difficulties of the standard time-dependent perturbation theory in quantum mechanics mainly from the viewpoint of practical calculation, we propose a new quasi-canonical perturbation theory. In the new theory, the dynamics…

Quantum Physics · Physics 2007-05-23 C. Y. Chen

The approach to the calculation of quantum dynamical correlation functions is presented in the framework of the Mori theory. An unified treatment of classic and quantum dynamics is given in terms of Weyl representation of operators and…

Statistical Mechanics · Physics 2009-10-31 R. Giachetti , R. Maciocco , V. Tognetti

The long time asymptotics of multi-time correlation functions of relaxing quantum mechanical systems can be conveniently studied by means of free-products of suitable C*-algebras and of states on these free products given by multiple…

Mathematical Physics · Physics 2009-10-31 J. Andries , F. Benatti , M. De Cock , M. Fannes

Understanding the real-time evolution of many-electron quantum systems is essential for studying dynamical properties in condensed matter, quantum chemistry, and complex materials, yet it poses a significant theoretical and computational…

Strongly Correlated Electrons · Physics 2024-11-07 Jannes Nys , Gabriel Pescia , Alessandro Sinibaldi , Giuseppe Carleo

Quantum thermodynamics and quantum information are two frameworks for employing quantum mechanical systems for practical tasks, exploiting genuine quantum features to obtain advantages with respect to classical implementations. While…

Quantum Physics · Physics 2019-05-28 Giuseppe Vitagliano , Claude Klöckl , Marcus Huber , Nicolai Friis

Two improvements with respect to previous formulations are presented for the calculation of the partition function $\mathcal{Z}$ of small, isolated and interacting many body systems. By including anharmonicities and employing a variational…

Nuclear Theory · Physics 2007-05-23 Christian Rummel , Helmut Hofmann

A scheme to evaluate computation fidelities within the one-way model is developed and explored to understand the role of correlations in the quality of noisy quantum computations. The formalism is promptly applied to many computation…

Quantum Physics · Physics 2013-05-29 Rafael Chaves , Fernando de Melo

I introduce an algorithm to detect one-way quantum information between two interacting quantum systems, i.e. the direction and orientation of the information transfer in arbitrary quantum dynamics. I then build an information-theoretic…

Quantum Physics · Physics 2020-08-26 Davide Girolami

Two-time correlations are a crucial tool to probe the dynamics of many-body systems. We use these correlation functions to study the dynamics of dissipative quantum systems. Extending the adiabatic elimination method, we show that the…

Quantum Gases · Physics 2015-06-11 Bruno Sciolla , Dario Poletti , Corinna Kollath

We develop a unitary dependence theory to characterize the behaviors of quantum circuits and states in terms of how quantum gates manipulate qubits and determine their measurement probabilities. A qubit has dependence on a 1-qubit unitary…

Quantum Physics · Physics 2022-04-07 Zixuan Hu , Sabre Kais

A unified view on linear response of interacting systems utilizing multicongurational time-dependent Hartree methods is presented. The cases of one-particle and two-particle response operators for identical particles and up to all-system…

Quantum Physics · Physics 2014-10-20 Ofir E. Alon , Alexej I. Streltsov , Lorenz S. Cederbaum

The maximum-likelihood principle unifies inference of quantum states and processes from experimental noisy data. Particularly, a generic quantum process may be estimated simultaneously with unknown quantum probe states provided that…

Quantum Physics · Physics 2009-11-07 Miroslav Jezek , Jaromir Fiurasek , Zdenek Hradil

Experiments performed on quantum systems often measure multitime correlation functions. When quantum systems are weakly coupled to their environment, the time evolution of such correlation functions can be reduced to that of the reduced…

Quantum Physics · Physics 2026-05-22 Thomas K. Bracht , Moritz Cygorek