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We examine the quantum tunneling of magnetization in molecular spin in weak interaction with a bath subject to Redfield master equation. By designing a microscopic model for a multilevel spin system using only a generic Hamiltonian and…

Materials Science · Physics 2022-12-27 Le Tuan Anh Ho , Liviu Ungur , Liviu F. Chibotaru

The escape rate \Gamma of the large-spin model described by the Hamiltonian H = -DS_z^2 - H_zS_z - H_xS_x is investigated with the help of the mapping onto a particle moving in a double-well potential U(x). The transition-state method…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin , X. Martinez Hidalgo , E. M. Chudnovsky

Over 90 % of all chemical manufacture uses a solid catalyst. Related work thus responds to major societal demand. This study is of water-gas shift on platinum for hydrogen production. The close-packed Pt(111) surface catalyses this process.…

Materials Science · Physics 2020-04-23 Rajesh O. Sharma , Tapio T Rantala , Philip E Hoggan

We extend quantum trajectory theory to encompass the evolution of a large class of open quantum systems interacting with an environment at {arbitrary coupling strength}. Specifically, we prove that general time-local quantum master…

Quantum Physics · Physics 2022-07-19 Brecht Donvil , Paolo Muratore-Ginanneschi

We study the pseudogap Bose-Fermi Anderson model with a continuous-time quantum Monte Carlo (CT-QMC) method. We discuss some delicate aspects of the transformation from this model to the Bose-Fermi Kondo model. We show that the CT-QMC…

Strongly Correlated Electrons · Physics 2015-05-20 J. H. Pixley , Stefan Kirchner , M. T. Glossop , Qimiao Si

These lecture notes introduce quantum spin systems and several computational methods for studying their ground-state and finite-temperature properties. Symmetry-breaking and critical phenomena are first discussed in the simpler setting of…

Strongly Correlated Electrons · Physics 2015-03-17 Anders W. Sandvik

We present extensive \textit{ab initio} path integral Monte Carlo (PIMC) simulations of two-dimensional quantum dipole systems in a harmonic confinement, taking into account both Bose- and Fermi-statistics. This allows us to study the…

Computational Physics · Physics 2020-08-12 Tobias Dornheim

We develop a real-time Full Configuration Interaction Quantum Monte Carlo approach for the modeling of driven-dissipative open quantum systems. The method enables stochastic sampling of the Liouville-von-Neumann time evolution of the…

Quantum Physics · Physics 2018-06-06 Alexandra Nagy , Vincenzo Savona

Recent applications of Quantum Monte Carlo (QMC) technique to Fe-based superconductors opened a way to directly verify the applicability of the itinerant scenario for these systems. Fe-based superconductors undergo various instabilities…

Superconductivity · Physics 2016-05-04 Andrey V. Chubukov , Rui-Qi Xing

Distinguishing the nontrivial symmetry-protected topological (SPT) phase from the trivial insulator phase in the presence of electron-electron interaction is an urgent question to the study of topological insulators, due to the fact that…

Strongly Correlated Electrons · Physics 2015-10-26 Han-Qing Wu , Yuan-Yao He , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

This paper proposes a method of quantum Monte Carlo integration that retains the full quadratic quantum advantage, without requiring any arithmetic or quantum phase estimation to be performed on the quantum computer. No previous proposal…

Quantum Physics · Physics 2022-10-05 Steven Herbert

The design of Quantum Turbo Codes (QTCs) typically relies on the analysis of their distance spectra, followed by Monte-Carlo simulations. By contrast, in this paper we appropriately adapt the conventional non-binary EXtrinsic Information…

Quantum Physics · Physics 2015-02-04 Zunaira Babar , Soon Xin Ng , Lajos Hanzo

We consider the problem of determining the arrival statistics of unbiased planar random walkers to complex target configurations. In contrast to problems posed in finite domains, simple moments of the distribution, such as the mean (MFPT)…

Numerical Analysis · Mathematics 2021-12-14 Jake Cherry , Alan E. Lindsay , Adrian Navarro Hernandez , Bryan Quaife

We use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression depends solely on ordinary integrals which involve the…

High Energy Physics - Theory · Physics 2008-02-03 C. A. A. de Carvalho , R. M. Cavalcanti

We introduce a Quantum Monte Carlo (QMC) method which efficiently simulates in a sign-problem-free way a broad class of frustrated $S=1/2$ models with competing antiferromagnetic interactions. Our scheme uses the basis of total spin…

Strongly Correlated Electrons · Physics 2016-11-09 Fabien Alet , Kedar Damle , Sumiran Pujari

Quasi-Monte Carlo (qMC) methods are a powerful alternative to classical Monte-Carlo (MC) integration. Under certain conditions, they can approximate the desired integral at a faster rate than the usual Central Limit Theorem, resulting in…

Econometrics · Economics 2019-11-22 Jean-Jacques Forneron

Monte Carlo simulations are useful tools for modeling quantum systems, but in some cases they suffer from a sign problem, leading to an exponential slow down in their convergence to a value. While solving the sign problem is generically…

Quantum Physics · Physics 2022-12-21 T. C. Mooney , Jacob Bringewatt , Neill C. Warrington , Lucas T. Brady

We report results of fully non-perturbative, Path Integral Monte Carlo (PIMC) calculations for dilute neutron matter. The neutron-neutron interaction in the s channel is parameterized by the scattering length and the effective range. We…

Nuclear Theory · Physics 2011-02-21 Gabriel Wlazlowski , Piotr Magierski

The \emph{ab initio} path integral Monte Carlo (PIMC) method is one of the most successful methods in statistical physics, quantum chemistry and related fields, but its application to quantum degenerate Fermi systems is severely hampered by…

Computational Physics · Physics 2023-08-14 Tobias Dornheim , Panagiotis Tolias , Simon Groth , Zhandos Moldabekov , Jan Vorberger , Barak Hirshberg

Computational methods both open the frontiers of economic analysis and serve as a bottleneck in what can be achieved. We are the first to study whether Quantum Monte Carlo (QMC) algorithm can improve the runtime of economic applications and…

Quantum Physics · Physics 2024-09-24 Vladimir Skavysh , Sofia Priazhkina , Diego Guala , Thomas R. Bromley
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