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Quantum Monte Carlo belongs to the most accurate simulation techniques for quantum many-particle systems. However, for fermions, these simulations are hampered by the sign problem that prohibits simulations in the regime of strong…

Computational Physics · Physics 2020-10-28 A. Yilmaz , K. Hunger , T. Dornheim , S. Groth , M. Bonitz

We present a computational LCHO-CI approach allowing for the simulation of exchange interactions in gated lateral quantum dot networks. The approach is based on single-particle states calculated using a linear combination of harmonic…

Mesoscale and Nanoscale Physics · Physics 2007-06-08 Irene Puerto-Gimenez , Marek Korkusinski , Pawel Hawrylak

Recently, fictitious identical particles have provided a promising way to overcome the fermion sign problem and have been used in path integral Monte Carlo (PIMC) to accurately simulate warm dense matter with up to 1000 electrons (T.…

Quantum Gases · Physics 2025-08-14 Yunuo Xiong , Shujuan Liu , Hongwei Xiong

Trapped Bosons exhibit fundamental physical phenomena and are potentially useful for quantum technologies. We present a method for simulating Bosons using path integral molecular dynamics. A main challenge for simulations is including all…

Quantum Gases · Physics 2020-05-07 Barak Hirshberg , Valerio Rizzi , Michele Parrinello

Bosonic exchange symmetry leads to fascinating quantum phenomena, from exciton condensation in quantum materials to the superfluidity of liquid Helium-4. Unfortunately, path integral molecular dynamics (PIMD) simulations of bosons are…

Computational Physics · Physics 2025-02-18 Yotam M. Y. Feldman , Barak Hirshberg

Recently there have been experimental indications that solid 4He might be a supersolid. We discuss the relation of supersolid behavior to ring exchange. The tunnelling frequencies for ring exchanges in quantum solids are calculated using…

Other Condensed Matter · Physics 2009-11-11 B. Bernu , D. M. Ceperley

We present a new approach based on real time domain Feynman path integrals (RTPI) for electronic structure calculations and quantum dynamics, which includes correlations between particles exactly but within the numerical accuracy. We…

Quantum Physics · Physics 2015-10-09 Ilkka Ruokosenmäki , Hosein Gholizade , Ilkka Kylänpää , Tapio T. Rantala

The unitary equal-mass Fermi gas with zero-range interactions constitutes a paradigmatic model system that is relevant to atomic, condensed matter, nuclear, particle, and astro physics. This work determines the fourth-order virial…

Quantum Gases · Physics 2016-06-15 Yangqian Yan , D. Blume

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in the warm dense matter regime, e.g. dense plasmas and laser excited solids. Also, the quality of density functional theory calculations…

Strongly Correlated Electrons · Physics 2016-02-10 S. Groth , T. Schoof , T. Dornheim , M. Bonitz

The article is devoted to numerical studies of atomic (metal) hydrogen with Path Integral Monte Carlo (PIMC) technique. The research is focused on the range of temperatures and densities where quantum statistics effects are crucial for…

Other Condensed Matter · Physics 2013-04-10 Alexander Novoselov , Oleg Pavlovsky , Maxim Ulybyshev

Heisenberg exchange coupling between neighboring electron spins in semiconductor quantum dots provides a powerful tool for quantum information processing and simulation. Although so far unrealized, extended Heisenberg spin chains can enable…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Haifeng Qiao , Yadav P. Kandel , Kuangyin Deng , Saeed Fallahi , Geoffrey C. Gardner , Michael J. Manfra , Edwin Barnes , John M. Nichol

The construction of quantum computer simulators requires advanced software which can capture the most significant characteristics of the quantum behavior and quantum states of qubits in such systems. Additionally, one needs to provide valid…

A general algorithm toward the solution of the fermion sign problem in finite-temperature quantum Monte Carlo simulations has been formulated for discretized fermion path integrals with nearest-neighbor interactions in the Trotter…

Statistical Mechanics · Physics 2009-10-31 C. H. Mak , R. Egger , H. Weber-Gottschick

The fermion sign problem constitutes one of the most fundamental obstacles in quantum many-body theory. Recently, it has been suggested to circumvent the sign problem by carrying out path integral simulations with a fictitious quantum…

Thermodynamics of dissipative quantum systems with double-well potentials is studied by the path-integral Monte Carlo (PIMC) method without truncation to the two-state model. For efficient simulation at low temperatures, we develop a new…

Statistical Mechanics · Physics 2007-05-23 Takeshi Matsuo , Yuhei Natsume , Takeo Kato

The rigorous description of correlated quantum many-body systems constitutes one of the most challenging tasks in contemporary physics and related disciplines. In this context, a particularly useful tool is the concept of effective pair…

Computational Physics · Physics 2022-12-07 Tobias Dornheim , Panagiotis Tolias , Zhandos Moldabekov , Attila Cangi , Jan Vorberger

We describe in detail a full configuration interaction (CI) method designed to analyze systems of quantum dots. This method is capable of exploring large regions of parameter space, like more approximate approaches such as Heitler London…

Mesoscale and Nanoscale Physics · Physics 2010-06-15 Erik Nielsen , Richard P. Muller

We review the use of the path integral Monte Carlo (PIMC) methodology to the study of finite-size quantum clusters, with particular emphasis on recent applications to pure and impurity-doped He clusters. We describe the principles of PIMC,…

Chemical Physics · Physics 2016-11-23 Patrick Huang , Yongkyung Kwon , K. Birgitta Whaley

We study the electron-electron interaction effects on topological phase transitions by the ab-initio quantum Monte Carlo simulation. We analyze two-dimensional class A topological insulators and three-dimensional Weyl semimetals with the…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Arata Yamamoto , Taro Kimura

For electron spin qubits in quantum dots, reducing charge noise sensitivity is a critical step in achieving fault tolerant two-qubit gates mediated by the exchange interaction. This work explores how the physical device geometry affects the…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Brandon Buonacorsi , Marek Korkusinski , Bohdan Khromets , Jonathan Baugh