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Ultrafast dynamics in chemical systems provide a unique access to fundamental processes at the molecular scale. A proper description of such systems is often very challenging because of the quantum nature of the problem. The concept of…

Chemical Physics · Physics 2019-04-11 Lars-Hendrik Frahm , Daniela Pfannkuche

The similarities between Hartree-Fock (HF) theory and the density-matrix renormalization group (DMRG) are explored. Both methods can be formulated as the variational optimization of a wave-function ansatz. Linearization of the…

Strongly Correlated Electrons · Physics 2013-08-13 Sebastian Wouters , Naoki Nakatani , Dimitri Van Neck , Garnet Kin-Lic Chan

Adaptive quantum circuits, which combine local unitary gates, midcircuit measurements, and feedforward operations, have recently emerged as a promising avenue for efficient state preparation, particularly on near-term quantum devices…

Quantum Physics · Physics 2025-04-01 Kevin C. Smith , Abid Khan , Bryan K. Clark , S. M. Girvin , Tzu-Chieh Wei

We describe a formulation of the density matrix embedding theory at finite temperature. We present a generalization of the ground-state bath orbital construction that embeds a mean-field finite-temperature density matrix up to a given order…

Strongly Correlated Electrons · Physics 2020-03-04 Chong Sun , Ushnish Ray , Zhi-Hao Cui , Miles Stoudenmire , Michel Ferrero , Garnet Kin-Lic Chan

At zero temperature coupled cluster theory is widely used to predict total energies, ground state expectation values and even excited states for molecules and extended systems. Generalizations to finite temperature exist, however, they are…

Materials Science · Physics 2019-11-21 Felix Hummel

The Lipkin-Meshkov-Glick model is used to examine the validity of some approximate methods in a many-body theory at finite temperatures. Namely, the thermal random phase approximation (TRPA) and the thermal renormalized random phase…

Nuclear Theory · Physics 2007-05-23 A. N. Storozhenko , D. S. Kosov , A. I. Vdovin

Tensor-network methods are used to perform a comparative study of the two-dimensional classical Heisenberg and $\mathrm{RP}^2$ models. We demonstrate that uniform matrix product states (MPS) with explicit $\mathrm{SO}(3)$ symmetry can probe…

Statistical Mechanics · Physics 2023-01-19 Lander Burgelman , Lukas Devos , Bram Vanhecke , Frank Verstraete , Laurens Vanderstraeten

We propose an efficient method for Monte Carlo simulation of quantum lattice models. Unlike most other quantum Monte Carlo methods, a single run of the proposed method yields the free energy and the entropy with high precision for the whole…

Statistical Mechanics · Physics 2009-11-10 Chiaki Yamaguchi , Naoki Kawashima , Yutaka Okabe

Quantum state tomography (QST) is the gold standard technique for obtaining an estimate for the state of small quantum systems in the laboratory. Its application to systems with more than a few constituents (e.g. particles) soon becomes…

The term Tensor Network States (TNS) refers to a number of families of states that represent different ans\"atze for the efficient description of the state of a quantum many-body system. Matrix Product States (MPS) are one particular case…

High Energy Physics - Lattice · Physics 2014-02-04 Mari Carmen Bañuls , Krzysztof Cichy , J. Ignacio Cirac , Karl Jansen , Hana Saito

We present a flexible density-matrix renormalization group approach to calculate finite-temperature spectral functions of one-dimensional strongly correlated quantum systems. The method combines the purification of the finite-temperature…

Strongly Correlated Electrons · Physics 2014-09-02 Alexander C. Tiegel , Salvatore R. Manmana , Thomas Pruschke , Andreas Honecker

We investigate the transport properties of an anharmonic oscillator, modeled by a single-site Bose-Hubbard model, coupled to two different thermal baths using the numerically exact thermofield based chain-mapping matrix product states…

Quantum Gases · Physics 2020-08-18 Tianqi Chen , Vinitha Balachandran , Chu Guo , Dario Poletti

Using an imaginary-time matrix-product state (MPS) based quantum impurity solver we perform a realistic dynamical mean-field theory (DMFT) calculation combined with density functional theory (DFT) for Sr$_2$RuO$_4$. We take the full…

Strongly Correlated Electrons · Physics 2020-01-22 Nils-Oliver Linden , Manuel Zingl , Claudius Hubig , Olivier Parcollet , Ulrich Schollwöck

A variety of generative neural networks recently adopted from machine learning have provided promising strategies for studying quantum matter. In particular, the success of autoregressive models in natural language processing has motivated…

Quantum Physics · Physics 2025-08-20 Tarun Advaith Kumar , Leon Balents , Timothy H. Hsieh , Roger G. Melko

Accurately evaluating finite-temperature properties of quantum many-body systems remains a central challenge. Many existing quantum approaches typically require thermal-state preparation at each target temperature, making low-temperature…

Quantum Physics · Physics 2026-04-15 Hiroto Yamamoto , Katsuhiro Morita

Aimed at a more realistic classical description of natural quantum systems, we present a two-dimensional tensor network algorithm to study finite temperature properties of frustrated model quantum systems and real quantum materials. For…

Strongly Correlated Electrons · Physics 2024-06-12 Philipp Schmoll , Christian Balz , Bella Lake , Jens Eisert , Augustine Kshetrimayum

Residual entropy, which reflects the degrees of freedom in a system at absolute zero temperature, is crucial for understanding quantum and classical ground states. Despite its key role in explaining low-temperature phenomena and ground…

Statistical Mechanics · Physics 2025-02-20 Zenan Dai , Xiao Yan Xu

We present a study of the hard-core Bose-Hubbard model at zero temperature on an infinite square lattice using the infinite Projected Entangled Pair State algorithm [Jordan et al., Phys. Rev. Lett. 101, 250602 (2008)]. Throughout the whole…

Strongly Correlated Electrons · Physics 2013-05-29 Jacob Jordan , Roman Orus , Guifre Vidal

In one-dimensional quantum systems with short-range interactions, a set of leading numerical methods is based on matrix product states, whose bond dimension determines the amount of computational resources required by these methods. We…

Quantum Physics · Physics 2021-12-07 Yichen Huang

We develop a scheme for engineering genuine thermal states in analog quantum simulation platforms by coupling local degrees of freedom to driven, dissipative ancilla pseudospins. We demonstrate the scheme in a many-body quantum spin lattice…

Quantum Physics · Physics 2020-06-16 Mekena Metcalf , Jonathan E. Moussa , Wibe A. de Jong , Mohan Sarovar