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Related papers: Numerical Linked-Cluster Approach to Quantum Latti…

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We discuss recently introduced numerical linked-cluster (NLC) algorithms that allow one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. We…

Statistical Mechanics · Physics 2007-06-25 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

We discuss the application of a recently introduced numerical linked-cluster (NLC) algorithm to strongly correlated itinerant models. In particular, we present a study of thermodynamic observables: chemical potential, entropy, specific…

Strongly Correlated Electrons · Physics 2007-06-25 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

We show that numerical linked cluster expansions (NLCEs) based on sufficiently large building blocks allow one to obtain accurate low-temperature results for the thermodynamic properties of spin lattice models with continuous disorder…

Statistical Mechanics · Physics 2024-06-04 Mahmoud Abdelshafy , Marcos Rigol

We discuss the application of numerical linked cluster expansions (NLCEs) to study one dimensional lattice systems in thermal equilibrium and after quantum quenches from thermal equilibrium states. For the former, we calculate observables…

Statistical Mechanics · Physics 2017-03-09 Krishnanand Mallayya , Marcos Rigol

Numerical linked-cluster expansions allow one to calculate finite-temperature properties of quantum lattice models directly in the thermodynamic limit through exact solutions of small clusters. However, full diagonalization is often the…

Strongly Correlated Electrons · Physics 2019-07-17 Krishnakumar Bhattaram , Ehsan Khatami

We implement numerical linked cluster expansions (NLCEs) to study dynamics of lattice systems following quantum quenches, and focus on a hard-core boson model in one-dimensional lattices. We find that, in the nonintegrable regime and within…

Statistical Mechanics · Physics 2018-02-22 Krishnanand Mallayya , Marcos Rigol

We demonstrate that numerical linked cluster expansions (NLCE) yield a powerful approach to calculate time-dependent correlation functions for quantum many-body systems in one dimension. As a paradigmatic example, we study the dynamics of…

Strongly Correlated Electrons · Physics 2019-03-21 Jonas Richter , Robin Steinigeweg

Imperfections in correlated materials can alter their ground state as well as finite-temperature properties in significant ways. Here, we develop a method based on numerical linked-cluster expansions for calculating exact finite-temperature…

Strongly Correlated Electrons · Physics 2019-05-15 Michael Mulanix , Demetrius Almada , Ehsan Khatami

We introduce a linked-cluster based computational approach that allows one to study quantum quenches in lattice systems in the thermodynamic limit. This approach is used to study quenches in one-dimensional lattices. We provide evidence…

Statistical Mechanics · Physics 2014-04-30 Marcos Rigol

We provide a pedagogical introduction to numerical linked-cluster expansions (NLCEs). We sketch the algorithm for generic Hamiltonians that only connect nearest-neighbor sites in a finite cluster with open boundary conditions. We then…

Statistical Mechanics · Physics 2013-03-13 Baoming Tang , Ehsan Khatami , Marcos Rigol

We present three different neural network algorithms to calculate thermodynamic properties as well as dynamic correlation functions at finite temperatures for quantum lattice models. The first method is based on purification, which allows…

Statistical Mechanics · Physics 2024-04-16 D. Wagner , A. Klümper , J. Sirker

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

We develop a method to calculate the bipartite entanglement entropy of quantum models, in the thermodynamic limit, using a Numerical Linked Cluster Expansion (NLCE) involving only rectangular clusters. It is based on exact diagonalization…

Statistical Mechanics · Physics 2013-05-13 Ann B. Kallin , Katharine Hyatt , Rajiv R. P. Singh , Roger G. Melko

We develop a numerical linked cluster expansion (NLCE) method that can be applied directly to inhomogeneous systems, for example Hamiltonians with disorder and dynamics initiated from inhomogeneous initial states. We demonstrate the method…

Strongly Correlated Electrons · Physics 2020-07-22 Johann Gan , Kaden R. A. Hazzard

Linked cluster expansions provide a useful tool for both analytical and numerical investigations of lattice field theories. The expansion parameter(s) being the interaction strength(s) fields at neighboured lattice sites are coupled, they…

High Energy Physics - Lattice · Physics 2009-10-28 Thomas Reisz

We exploit a prescription to observe directly the physical properties of the thermodynamic limit under continuously applied field in one-dimensional quantum finite lattice systems. By systematically scaling down the energy of the…

Strongly Correlated Electrons · Physics 2015-06-16 Chisa Hotta , Naokazu Shibata

Dynamical quantum-cluster approaches, such as different cluster extensions of the dynamical mean-field theory (cluster DMFT) or the variational cluster approximation (VCA), combined with efficient cluster solvers, such as the quantum…

Strongly Correlated Electrons · Physics 2013-05-29 Gang Li , Werner Hanke , Alexei N. Rubtsov , Sebastian Bäse , Michael Potthoff

Disordered quantum systems undergoing a many-body localization (MBL) transition fail to reach thermal equilibrium under their own dynamics. Distinguishing between asymptotically localized or delocalized dynamics based on numerical results…

Statistical Mechanics · Physics 2022-06-28 Jonas Richter , Arijeet Pal

We show that the bipartite logarithmic entanglement negativity (EN) of quantum spin models obeys an area law at all nonzero temperatures. We develop numerical linked cluster (NLC) expansions for the `area-law' logarithmic entanglement…

Statistical Mechanics · Physics 2016-02-24 Nicholas E. Sherman , Trithep Devakul , Matthew B. Hastings , Rajiv R. P. Singh

We study quantum quenches in the transverse-field Ising model defined on different lattice geometries such as chains, two- and three-leg ladders, and two-dimensional square lattices. Starting from fully polarized initial states, we consider…

Statistical Mechanics · Physics 2020-09-09 Jonas Richter , Tjark Heitmann , Robin Steinigeweg
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