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The preparation of highly entangled many-body systems is one of the central challenges of both basic and applied science. The complexity of interparticle interaction and environment coupling increases rapidly with the number of…

Quantum Physics · Physics 2013-09-20 Felix Platzer , Florian Mintert , Andreas Buchleitner

The pursuit of superconducting-based quantum computers has advanced the fabrication of and experimentation with custom lattices of qubits and resonators. Here, we describe a roadmap to use present experimental capabilities to simulate an…

Quantum Physics · Physics 2020-06-29 Yariv Yanay , Jochen Braumüller , Simon Gustavsson , William D. Oliver , Charles Tahan

We present a new approach to compute low lying eigenvalues and corresponding eigenvectors for strongly correlated many-body systems. The method was inspired by the so-called Automated Multilevel Sub-structuring Method (AMLS). Originally, it…

Computational Physics · Physics 2010-04-28 Ralf Gamillscheg , Gundolf Haase , Wolfgang von der Linden

A new method is presented to reconstruct the potential of a quantum mechanical many-body system from observational data, combining a nonparametric Bayesian approach with a Hartree-Fock approximation. A priori information is implemented as a…

Nuclear Theory · Physics 2009-10-31 J. C. Lemm , J. Uhlig

We formulate two methods to facilitate the calculation of perturbative corrections to quantum few-body observables. Both techniques are designed for a numerical realization in combination with any tool that obtains either the entire…

Nuclear Theory · Physics 2025-09-23 Sourav Mondal , Martin Schäfer , Mirko Bagnarol , Nir Barnea , Udit Raha , Johannes Kirscher

We report on a multiband microscopic theory of many-exciton complexes in self-assembled quantum dots. The single particle states are obtained by three methods: single-band effective-mass approximation, the multiband $k\cdot p$ method, and…

Materials Science · Physics 2009-11-10 Weidong Sheng , Shun-Jen Cheng , Pawel Hawrylak

A method to solve the Schr\"{o}dinger equation based on the use of constant particle-particle interaction potential surfaces is proposed. The many-body wave function is presented in configuration interaction form with coefficients -…

Quantum Physics · Physics 2018-06-19 V. M. Tapilin

We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in an exponentially small fraction of "energetically allowed…

Statistical Mechanics · Physics 2024-09-24 Chao Yin , Rahul Nandkishore , Andrew Lucas

A nano-system in which electrons interact and in contact with Fermi leads gives rise to an effective one-body scattering which depends on the presence of other scatterers in the attached leads. This non local effect is a pure many-body…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Asada , Axel Freyn , Jean-Louis Pichard

Nanoscale engineered spin systems, ranging from spins on surfaces to nanographenes, provide flexible platforms to realize entangled quantum magnets from a bottom up approach. However, assessing the quantum many-body Hamiltonian realized in…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Netta Karjalainen , Greta Lupi , Rouven Koch , Adolfo O. Fumega , Jose L. Lado

Nonequilibrium dynamics of quantum many-body systems is challenging for classical computing, providing opportunities for demonstrating practical quantum computational advantage with analogue quantum simulators. Owing to the intimate…

We develop a workflow to use current quantum computing hardware for solving quantum many-body problems, using the example of the fermionic Hubbard model. Concretely, we study a four-site Hubbard ring that exhibits a transition from a…

Introducing low-energy effective Hamiltonians is usual to grasp most correlations in quantum many-body problems. For instance, such effective Hamiltonians can be treated at the mean-field level to reproduce some physical properties of…

Quantum Gases · Physics 2025-01-09 Raphaël Photopoulos , Antoine Boulet

In experimentally realistic situations, quantum systems are never perfectly isolated and the coupling to their environment needs to be taken into account. Often, the effect of the environment can be well approximated by a Markovian master…

Quantum Physics · Physics 2019-07-03 Michael J. Hartmann , Giuseppe Carleo

We develop an efficient and robust approach to Hamiltonian identification for multipartite quantum systems based on the method of compressed sensing. This work demonstrates that with only O(s log(d)) experimental configurations, consisting…

Quantum Physics · Physics 2015-03-13 A. Shabani , M. Mohseni , S. Lloyd , R. L. Kosut , H. Rabitz

We present a quantum-classical hybrid algorithm for calculating the ground state and its energy of the quantum many-body Hamiltonian by proposing an adaptive construction of a quantum state for the quantum-selected configuration interaction…

Quantum Physics · Physics 2024-12-12 Yuya O. Nakagawa , Masahiko Kamoshita , Wataru Mizukami , Shotaro Sudo , Yu-ya Ohnishi

The multilayer multiconfiguration time-dependent Hartree method is employed to study vibrationally coupled charge transport in models of single molecule junctions. To increase the efficiency of the simulation method, a representation of the…

Mesoscale and Nanoscale Physics · Physics 2013-02-12 Haobin Wang , Michael Thoss

We present an efficient \textit{ab initio} method for calculating the electronic structure and total energy of strongly correlated electron systems. The method extends the traditional Gutzwiller approximation for one-particle operators to…

Strongly Correlated Electrons · Physics 2014-07-01 Y. X. Yao , J. Liu , C. Liu , W. C. Lu , C. Z. Wang , K. M. Ho

The single-centre convergent close-coupling approach to ion-atom collisions has been extended to model collisions involving arbitrary multi-electron atoms and partially stripped ions. This is accomplished by generating a set of target…

Atomic Physics · Physics 2026-05-12 N. W. Antonio , A. S. Kadyrov

We investigate an approach for studying the ground state of a quantum many-body Hamiltonian that is based on treating the correlation functions as variational parameters. In this approach, the challenge set by the exponentially-large…

Strongly Correlated Electrons · Physics 2020-01-22 Arbel Haim , Richard Kueng , Gil Refael