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We present a quantum Monte Carlo method capable of sampling the full density matrix of a many-particle system at finite temperature. This allows arbitrary reduced density matrix elements and expectation values of complicated non-local…

Computational Physics · Physics 2015-06-15 N. S. Blunt , T. W. Rogers , J. S. Spencer , W. M. C. Foulkes

A study on a parametrized model of a composite barrier FTJ (three-interface system, with a non-polar dielectric layer) under an external bias voltage and at room temperature, using FEM-based simulations, was performed. The approach involves…

Mesoscale and Nanoscale Physics · Physics 2022-07-20 C. Tibeica , T. Sandu , O. Nedelcu , R. Plugaru , N. Plugaru

We demonstrate a technique for obtaining the density of atomic vapor, by doing a fit of the resonant absorption spectrum to a density-matrix model. In order to demonstrate the usefulness of the technique, we apply it to absorption in the…

Atomic Physics · Physics 2017-06-15 Harish Ravi , Mangesh Bhattarai , Vasant Natarajan

The density matrix renormalization group is one of the most powerful numerical methods for computing ground-state properties of two-dimensional (2D) quantum lattice systems. Here we show its finite-temperature extensions are also viable for…

Strongly Correlated Electrons · Physics 2017-08-24 Benedikt Bruognolo , Zhenyue Zhu , Steven R. White , E. Miles Stoudenmire

Many quantum algorithms, including recently proposed hybrid classical/quantum algorithms, make use of restricted tomography of the quantum state that measures the reduced density matrices, or marginals, of the full state. The most…

Quantum Physics · Physics 2018-05-16 Nicholas C. Rubin , Ryan Babbush , Jarrod McClean

We show how to simulate numerically both the evolution of 1D quantum systems under dissipation as well as in thermal equilibrium. The method applies to both finite and inhomogeneous systems and it is based on two ideas: (a) a representation…

Other Condensed Matter · Physics 2007-05-23 F. Verstraete , J. J. Garcia-Ripoll , J. I. Cirac

An expansion method for perturbation of the zero temperature grand canonical density matrix is introduced. The method achieves quadratically convergent recursions that yield the response of the zero temperature density matrix upon variation…

Materials Science · Physics 2009-11-10 Anders M. N. Niklasson , Matt Challacombe

Density matrix embedding theory (DMET) provides a theoretical framework to treat finite fragments in the presence of a surrounding molecular or bulk environment, even when there is significant correlation or entanglement between the two. In…

Chemical Physics · Physics 2016-11-29 Sebastian Wouters , Carlos A. Jiménez-Hoyos , Qiming Sun , Garnet Kin-Lic Chan

We propose a multipole representation of the Fermi-Dirac function and the Fermi operator, and use this representation to develop algorithms for electronic structure analysis of metallic systems. The new algorithm is quite simple and…

Materials Science · Physics 2010-10-26 Lin Lin , Jianfeng Lu , Roberto Car , Weinan E

We develop analytical tools and numerical methods for time evolving the total density matrix of the finite-size Anderson model. The model is composed of two finite metal grains, each prepared in canonical states of differing chemical…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Manas Kulkarni , Kunal L Tiwari , Dvira Segal

We assess the status of a wide class of WIMP dark matter (DM) models in light of the latest experimental results using the global fitting framework $\textsf{GAMBIT}$. We perform a global analysis of effective field theory (EFT) operators…

Dirac-Frenkel variational method with Davydov D2 trial wavefunction is extended by introducing a thermalization algorithm and applied to simulate dynamics of a general open quantum system. The algorithm allows to control temperature…

Quantum Physics · Physics 2021-03-04 Mantas Jakučionis , Darius Abramavičius

We present a rigorous approach, based on the concept of continuous thermomajorisation, to algorithmically characterise the full set of energy occupations of a quantum system accessible from a given initial state through weak interactions…

Quantum Physics · Physics 2022-08-08 Kamil Korzekwa , Matteo Lostaglio

As the minituarization of electronic devices, which are sensitive to temperature, grows apace, sensing of temperature with ever smaller probes is more important than ever. Genuinely quantum mechanical schemes of thermometry are thus…

Quantum Physics · Physics 2020-07-08 Arun Kumar Pati , Chiranjib Mukhopadhyay , Sagnik Chakraborty , Sibasish Ghosh

We present an accurate and efficient real-space formulation of the Hellmann-Feynman stress tensor for $\mathcal{O}(N)$ Kohn-Sham density functional theory (DFT). While applicable at any temperature, the formulation is most efficient at high…

Computational Physics · Physics 2020-08-26 Abhiraj Sharma , Sebastien Hamel , Mandy Bethkenhagen , John E. Pask , Phanish Suryanarayana

Strongly interacting fermions underpin some of the most challenging problems in condensed matter physics, such as high-temperature superconductivity. The low-energy states of these systems encode their essential microscopic properties, yet…

Strongly Correlated Electrons · Physics 2026-05-05 Henning Schlömer , Liyuan Chen , Susanne F. Yelin , Hong-Ye Hu

We present an \textit{ab initio} theory for superconductors, based on a unique mapping between the statistical density operator at equilibrium, on the one hand, and the corresponding one-body reduced density matrix $\gamma$ and the…

Superconductivity · Physics 2019-06-06 Jonathan Schmidt , Carlos L. Benavides-Riveros , Miguel A. L. Marques

Introduction of polarizability in classical molecular simulations holds the promise to increase accuracy as well as prediction power to computer modeling. To introduce polarizability in a straight-forward way one strategy is based on Drude…

Chemical Physics · Physics 2013-11-11 Roman Shevchuk , Francesco Rao

The minimum action method (MAM) is an effective approach to numerically solving minimums and minimizers of Freidlin--Wentzell (F-W) action functionals, which is used to study the most probable transition path and probability of the…

Probability · Mathematics 2026-03-06 Jialin Hong , Diancong Jin , Derui Sheng

It has been suggested to project out a number of low-lying eigenvalues of the four-dimensional Wilson--Dirac operator that generates the transfer matrix of domain-wall fermions in order to improve simulations with domain-wall fermions. We…

High Energy Physics - Lattice · Physics 2009-11-10 Karl Jansen , Kei-ichi Nagai