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We introduce a versatile and practical framework for applying matrix product state techniques to continuous quantum systems. We divide space into multiple segments and generate continuous basis functions for the many-body state in each…

Quantum Gases · Physics 2022-06-09 Shovan Dutta , Anton Buyskikh , Andrew J. Daley , Erich J. Mueller

Due to advances in computer hardware and new algorithms, it is now possible to perform highly accurate many-body simulations of realistic materials with all their intrinsic complications. The success of these simulations leaves us with a…

Strongly Correlated Electrons · Physics 2018-05-14 Huihuo Zheng , Hitesh J. Changlani , Kiel T. Williams , Brian Busemeyer , Lucas K. Wagner

In density matrix theory, entanglement is monogamous. However, we show that qubits can be arbitrarily entangled in a different, recently constructed model of qubit entanglement [arXiv:1907.11805]. We illustrate the differences between these…

High Energy Physics - Theory · Physics 2020-02-10 Anna Karlsson

Accurate many-body treatments of condensed-phase systems are challenging because correlated solvers such as full configuration interaction (FCI) and the density matrix renormalization group (DMRG) scale exponentially with system size.…

Since the photon box gedanken experiments of several of the founding fathers of modern physics, considerable progress has been made in differentiating the quantum and classical worlds. In this pursuit, the cavity as an open quantum system…

Quantum Physics · Physics 2014-12-02 Nathan D. Poulin

We revisit the connection between entanglement entropy and quantum metric in topological lattice systems, and provide an elegant and concise proof of this connection. In gapped two-dimensional lattice models with well-defined tight-binding…

Strongly Correlated Electrons · Physics 2024-08-21 Alexander Kruchkov , Shinsei Ryu

We describe a numerical algorithm for approximating the equilibrium-reduced density matrix and the effective (mean force) Hamiltonian for a set of system spins coupled strongly to a set of bath spins when the total system (system+bath) is…

Quantum Physics · Physics 2023-01-25 Tyler Chen , Yu-Chen Cheng

We present a quantum-in-quantum embedding strategy coupled to machine learning potentials to improve on the accuracy of quantum-classical hybrid models for the description of large molecules. In such hybrid models, relevant structural…

Density-functional theory is a formally exact description of a many-body quantum system in terms of its density; in practice, however, approximations to the universal density functional are required. In this work, a model based on deep…

Computational Physics · Physics 2016-08-02 Jeffrey M. McMahon

We discuss a hybrid quantum system where a dielectric membrane situated inside an optical cavity is coupled to a distant atomic ensemble trapped in an optical lattice. The coupling is mediated by the exchange of sideband photons of the…

Quantum Physics · Physics 2013-02-18 B. Vogell , K. Stannigel , P. Zoller , K. Hammerer , M. T. Rakher , M. Korppi , A. Jöckel , P. Treutlein

Quantum-chemical subsystem and embedding methods require complex workflows that may involve multiple quantum-chemical program packages. Moreover, such workflows require the exchange of voluminous data that goes beyond simple quantities such…

Enhancing interactions in many-body quantum systems, while protecting them from environmental decoherence, is at the heart of many quantum technologies. Waveguide quantum electrodynamics is a promising platform for achieving this, as it…

Quantum Physics · Physics 2024-05-31 Aviv Karnieli , Offek Tziperman , Charles Roques-Carmes , Shanhui Fan

Recently, some of the authors introduced the use of the Householder transformation as a simple and intuitive method for the embedding of local molecular fragments (see Sekaran et. al., Phys. Rev. B 104, 035121 (2021), and Sekaran et. al.,…

Quantum Physics · Physics 2023-01-10 Saad Yalouz , Sajanthan Sekaran , Emmanuel Fromager , Matthieu Saubanère

In the realm of quantum chemistry, the accurate prediction of electronic structure and properties of nanostructures remains a formidable challenge. Density Functional Theory (DFT) and Density Matrix Renormalization Group (DMRG) have emerged…

Strongly Correlated Electrons · Physics 2024-02-21 T. Pauletti , M. Sanino , L. Gimenes , I. M. Carvalho , V. V. França

We extend the density matrix renormalization group to compute exact ground states of continuum many-electron systems in one dimension with long-range interactions. We find the exact ground state of a chain of 100 strongly correlated…

Strongly Correlated Electrons · Physics 2012-08-06 E. M. Stoudenmire , Lucas O. Wagner , Steven R. White , Kieron Burke

We clarify different definitions of the density matrix by proposing the use of different names, the full density matrix for a single-closed quantum system, the compressed density matrix for the averaged single molecule state from an…

Quantum Physics · Physics 2007-05-23 Gui Lu Long , Yi-Fan Zhou , Jia-Qi Jin , Yang Sun , Hai-Woong Lee

High throughput screening of materials for technologically relevant areas, like identification of better catalysts, electronic materials, ceramics for high temperature applications and drug discovery, is an emerging topic of research. To…

Chemical Physics · Physics 2020-05-04 Edgar Josué Landinez Borda , Amit Samanta

Decoherence is a major obstacle to any practical implementation of quantum information processing. One of the leading strategies to reduce decoherence is dynamical decoupling --- the use of an external field to average out the effect of the…

Quantum Physics · Physics 2011-07-26 Ido Almog , Yoav Sagi , Goren Gordon , Guy Bensky , Gershon Kurizki , Nir Davidson

Accurately describing many-body effects in multi-orbital systems remains a major challenge in theoretical condensed matter physics. At present, there is a significant methodological gap between the numerical tools used in ab initio…

Strongly Correlated Electrons · Physics 2025-12-16 Evgeny A. Stepanov

The projection-based wave function (WF)-in-DFT embedding enables an efficient description of both the energetics and properties of large and complex chemical systems, with accuracy exceeding that of pure DFT. Recently, we have proposed…

Chemical Physics · Physics 2025-11-18 Enzo Monino , Daria Drwal , Pavel Beran , Michał Hapka , Libor Veis , Katarzyna Pernal