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We provide fast algorithms for simulating many body Fermi systems on a universal quantum computer. Both first and second quantized descriptions are considered, and the relative computational complexities are determined in each case. In…

Quantum Physics · Physics 2009-10-30 Daniel S. Abrams , Seth Lloyd

We present a method using Feynman-like diagrams to calculate the statistical properties of random many-body potentials. This method provides a promising alternative to existing techniques typically applied to this class of problems, such as…

Other Condensed Matter · Physics 2015-06-23 Rupert Small , Sebastian Müller

We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe…

Modern applications of quantum control in quantum information science and technology require the precise characterization of quantum states and quantum channels. In particular, high-performance quantum state engineering often demands that…

Quantum Physics · Physics 2019-08-21 Wenqiang Zheng , Hengyan Wang , Tao Xin , Xinfang Nie , Dawei Lu , Jun Li

We show that coherent electron transport through zero-dimensional systems can be used to tailor the shape of the system's transmission function. This quantum-engineering approach can be used to enhance the performance of quantum dots or…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 Olov Karlstrom , Heiner Linke , Gunnar Karlstrom , Andreas Wacker

Quantum networks are promising tools for the implementation of long-range quantum communication. The characterization of quantum correlations in networks and their usefulness for information processing is therefore central for the progress…

Quantum Physics · Physics 2022-01-28 Kiara Hansenne , Zhen-Peng Xu , Tristan Kraft , Otfried Gühne

The fastest possible collective response of a quantum many-body system is related to its excitations at the highest possible energy. In condensed-matter systems, the corresponding timescale is typically set by the Fermi energy. Taking…

A brief pedagogical overview of recent advances in tensor network state methods are presented that have the potential to broaden their scope of application radically for strongly correlated molecular systems. These include global fermionic…

Strongly Correlated Electrons · Physics 2025-01-31 Miklós Antal Werner , Andor Menczer , Örs Legeza

We introduce 1-RDMFT in the canonical ensemble and then proceed to approximate the interacting ensemble by a non-interacting ensemble that maximizes the entropy, independently of temperature. Bosonic and Fermionic Sinkhorn algorithms are…

Chemical Physics · Physics 2022-05-31 Derk P. Kooi

Even after almost a century, the foundations of quantum statistical mechanics are still not completely understood. In this work, we provide a precise account on these foundations for a class of systems of paradigmatic importance that appear…

Quantum Physics · Physics 2019-10-02 Marek Gluza , Jens Eisert , Terry Farrelly

The phenomenon of Bose-like condensation, the continuous change of the dimensionality of the particle distribution as a consequence of freezing out of one or more degrees of freedom in the low particle density limit, is investigated…

Statistical Mechanics · Physics 2009-10-31 Dragoş-Victor Anghel

Using a fermionic renormalization group approach we analyse a model where the electrons diffusing on a quantum dot interact via Fermi-liquid interactions. Describing the single-particle states by Random Matrix Theory, we find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ganpathy Murthy , Harsh Mathur

We consider $m$ spinless Bosons distributed over $l$ degenerate single-particle states and interacting through a $k$-body random interaction with Gaussian probability distribution (the Bosonic embedded $k$-body ensembles). We address the…

Condensed Matter · Physics 2009-11-07 T. Asaga , L. Benet , T. Rupp , H. A. Weidenmueller

We present a new numerical approach to the study of disorder and interactions in quasi-1D systems which combines aspects of the transfer matrix method and the density matrix renormalization group which have been successfully applied to…

Strongly Correlated Electrons · Physics 2009-11-10 J M Carter , A MacKinnon

We study the transfer of quantum information through a Heisenberg spin-1 chain prepared in its ground state. We measure the efficiency of such a quantum channel {\em via} the fidelity of retrieving an arbitrarily prepared state and {\em…

Quantum Physics · Physics 2007-05-23 O. Romero-Isart , K. Eckert , A. Sanpera

Ergodic quantum many-body systems evolving under unitary time dynamics typically lose memory of their initial state via information scrambling. Here we consider a paradigmatic translationally invariant many-body Hamiltonian of interacting…

Strongly Correlated Electrons · Physics 2025-03-17 Rohit Mukherjee , Haoyu Guo , Keiran Lewellen , Debanjan Chowdhury

We develop a semidefinite programming method for the optimization of quantum networks, including both causal networks and networks with indefinite causal structure. Our method applies to a broad class of performance measures, defined…

Quantum Physics · Physics 2018-05-01 Giulio Chiribella , Daniel Ebler

Simulating interactions between fermions and bosons is central to understanding correlated phenomena, yet these systems are inherently difficult to treat classically. Previous quantum algorithms for fermion-boson models exhibit computation…

Quantum Physics · Physics 2026-01-27 Harriet Apel , Burak Şahinoğlu

Recently, several works have analysed the efficiency of photosynthetic complexes in a transient scenario and how that efficiency is affected by environmental noise. Here, following a quantum master equation approach, we study the energy and…

Biomolecules · Quantitative Biology 2013-02-28 Daniel Manzano

General relations are found between the measure of the uniformity of distributions on the phase space and the first moments and correlations of extensive variables for systems close to thermal equilibrium. The role played by the parameter…

Statistical Mechanics · Physics 2009-11-07 Arkadiusz Majka , Wojciech Wislicki