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In stochastic modeling, there has been a significant effort towards finding predictive models that predict a stochastic process' future using minimal information from its past. Meanwhile, in condensed matter physics, matrix product states…

Quantum Physics · Physics 2019-02-05 Chengran Yang , Felix C. Binder , Varun Narasimhachar , Mile Gu

Materials with strong electronic correlations may exhibit a superconducting (SC) phase when tuning some parameters, but they almost always also have multiple other phases, typically insulating ones, that are in close competition with SC. It…

Strongly Correlated Electrons · Physics 2023-01-20 Gunnar Bollmark , Thomas Köhler , Adrian Kantian

We compare the efficiency of different matrix product state (MPS) based methods for the calculation of two-time correlation functions in open quantum systems. The methods are the purification approach [1] and two approaches [2,3] based on…

Strongly Correlated Electrons · Physics 2020-09-17 Stefan Wolff , Ameneh Sheikhan , Corinna Kollath

Kinetic simulations of collisionless (or weakly collisional) plasmas using the Vlasov equation are often infeasible due to high resolution requirements and the exponential scaling of computational cost with respect to dimension. Recently,…

Computational Physics · Physics 2022-10-12 Erika Ye , Nuno F. G. Loureiro

We use two different methods, the Hirsch-Fye quantum Monte Carlo simulation and the slave-boson mean field analysis to estimate the effect of spin-orbit coupling on the Kondo temperature in a quantum wire. In quantum Monte Carlo simulation,…

Strongly Correlated Electrons · Physics 2017-11-16 Liang Chen , Rong-Sheng Han

Spin-orbital coupling (SOC) and parity-time ($\mathcal{PT}$) symmetry both have attracted paramount research interest in condensed matter physics, cold atom physics, optics and acoustics to develop spintronics, quantum computation, precise…

Quantum Gases · Physics 2022-06-29 Jieli Qin , Lu Zhou , Guangjiong Dong

We present some exact results for the optimal Matrix Product State (MPS) approximation to the ground state of the infinite isotropic Heisenberg spin-1/2 chain. Our approach is based on the systematic use of Schmidt decompositions to reduce…

Other Condensed Matter · Physics 2015-05-13 José I. Latorre , Vicent Picó

Near-term quantum processors are limited in terms of the number of qubits and gates they can afford. They nevertheless give unprecedented access to programmable quantum systems that can efficiently, although imperfectly, simulate quantum…

Strongly Correlated Electrons · Physics 2025-11-25 Thomas Ayral

The density-matrix renormalization group (DMRG) algorithm can be adapted to the calculation of dynamical correlation functions in various ways which all represent compromises between computational efficiency and physical accuracy. In this…

Strongly Correlated Electrons · Physics 2012-11-19 P. E. Dargel , A. Wöllert , A. Honecker , I. P. McCulloch , U. Schollwöck , T. Pruschke

We review the basic theory of matrix product states (MPS) as a numerical variational ansatz for time evolution, and present two methods to simulate finite temperature systems with MPS: the ancilla method and the minimally entangled typical…

Quantum Gases · Physics 2010-08-26 Michael L. Wall , Lincoln D. Carr

We derive an exact mapping from the action of nonequilibrium dynamical mean-field theory (DMFT) to a single-impurity Anderson model (SIAM) with time-dependent parameters, which can be solved numerically by exact diagonalization. The…

Strongly Correlated Electrons · Physics 2013-12-06 Christian Gramsch , Karsten Balzer , Martin Eckstein , Marcus Kollar

We provide new sufficient conditions for subcriticality of classical and quantum spin lattice systems, formulated in terms of the uniqueness of Kubo-Martin-Schwinger (KMS) states. This is achieved by exploiting a non-commutative analog of…

Mathematical Physics · Physics 2026-04-17 Nicolò Drago , Lorenzo Pettinari , Christiaan J. F. van de Ven

A recently developed continuous time solver based on an expansion in hybridization about an exactly solved local limit is reformulated in a manner appropriate for general classes of quantum impurity models including spin exchange and pair…

Strongly Correlated Electrons · Physics 2009-11-11 Philipp Werner , Andrew J. Millis

Matrix Product States (MPS) are used for the simulation of the real-time dynamics induced by an electric quench on the vacuum state of the massive Schwinger model. For small quenches it is found that the obtained oscillatory behavior of…

High Energy Physics - Lattice · Physics 2017-12-06 Boye Buyens , Jutho Haegeman , Florian Hebenstreit , Frank Verstraete , Karel Van Acoleyen

We show that the spin-orbit interaction (SOI) produced by the Coulomb fields of charged impurities provides an efficient mechanism for the bound states formation. The mechanism can be realized in 2D materials with sufficiently strong Rashba…

Mesoscale and Nanoscale Physics · Physics 2020-11-20 Yasha Gindikin , Vladimir A. Sablikov

Within the recently introduced auxiliary master equation approach it is possible to address steady state properties of strongly correlated impurity models, small molecules or clusters efficiently and with high accuracy. It is particularly…

Strongly Correlated Electrons · Physics 2015-12-10 Antonius Dorda , Martin Ganahl , Hans Gerd Evertz , Wolfgang von der Linden , Enrico Arrigoni

The simulation of nuclear magnetic resonance (NMR) experiments is a notoriously difficult task, if many spins participate in the dynamics. The recently established dynamic mean-field theory for high-temperature spin systems (spinDMFT)…

Chemical Physics · Physics 2026-02-04 Timo Gräßer , Götz S. Uhrig

Full charge self-consistence (CSC) over the electron density has been implemented into the local density approximation plus dynamical mean-field theory (LDA+DMFT) scheme based on a full-potential linear muffin-tin orbital method (FP-LMTO).…

Strongly Correlated Electrons · Physics 2014-08-07 O. Grånäs , I. Di Marco , P. Thunström , L Nordström , O. Eriksson , T. Björkman , J. M. Wills

We present an implementation of the rotationally invariant slave boson technique as an impurity solver for density functional theory plus dynamical mean field theory (DFT+DMFT). Our approach provides explicit relations between quantities in…

Strongly Correlated Electrons · Physics 2018-09-26 Jorge I. Facio , Jernej Mravlje , Leonid Pourovskii , Pablo S. Cornaglia , V. Vildosola

To understand the intricate exchange between electrons of different bands in strongly correlated materials, it is essential to treat multi-orbital models accurately. For this purpose, dynamical mean-field theory (DMFT) provides an…

Strongly Correlated Electrons · Physics 2025-12-10 Jonas B. Rigo , Markus Schmitt
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