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The q-state Potts model on a diamond chain has mathematical significance in analyzing phase transitions and critical behaviors in diverse fields, including statistical physics, condensed matter physics, and materials science. By focusing on…

Statistical Mechanics · Physics 2023-10-30 Yury Panov , Onofre Rojas

We investigate the thermal properties of the 1/3 plateau in the Shastry-Sutherland model with infinite projected entangled-pair states (iPEPS) by performing the imaginary time evolution of the infinite temperature density matrix. We show…

Strongly Correlated Electrons · Physics 2024-06-18 Samuel Nyckees , Philippe Corboz , Frédéric Mila

Wave-function methods have offered a robust, systematically improvable means to study ground-state properties in quantum many-body systems. Theories like coupled cluster and their derivatives provide highly accurate approximations to the…

Strongly Correlated Electrons · Physics 2023-05-10 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

Studying finite-temperature properties with tensor networks is notoriously difficult, especially at low temperatures, due to the rapid growth of entanglement and the complexity of thermal states. Existing methods like purification and…

Strongly Correlated Electrons · Physics 2026-01-15 Tomoya Takahashi , Wei-Lin Tu , Ji-Yao Chen , Yusuke Nomura

The minimally entangled typical thermal states algorithm is applied to fermionic systems using the Krylov-space approach to evolve the system in imaginary time. The convergence of local observables is studied in a tight-binding system with…

Strongly Correlated Electrons · Physics 2013-07-31 G. Alvarez

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a…

Quantum Physics · Physics 2015-05-27 Aurelian Isar

The Toeplitz algebra of a finite graph of rank $k$ carries a natural action of the torus ${\mathbb T}^k$, and composing with an embedding of ${\mathbb R}$ in ${\mathbb T}^k$ gives a dynamics on the Toeplitz algebra. For inverse temperatures…

Operator Algebras · Mathematics 2018-01-11 James Fletcher , Astrid an Huef , Iain Raeburn

The ground states and finite-temperature properties of mixed diamond chains with spins 1 and 1/2 are investigated in the limit of strong easy-axis anisotropy on the spin-1 sites. Magnetization curves, entropy, specific heat and magnetic…

Strongly Correlated Electrons · Physics 2019-08-02 Ryuta Iwazaki , Kazuo Hida

We introduce a tensor network method for approximating thermal equilibrium states of quantum many-body systems at low temperatures. Whereas the usual approach starts from infinite temperature and evolves the state in imaginary time (toward…

Quantum Physics · Physics 2025-10-23 Denise Cocchiarella , Mari Carmen Bañuls

Constructing quantum Hamiltonians for simulating and controlling the exotic physics of many-body systems belongs to the most important topics of condensed matter physics and quantum technologies. The main challenge that hinders the future…

Quantum Physics · Physics 2022-04-15 Ding-Zu Wang , Guo-Feng Zhang , Maciej Lewenstein , Shi-Ju Ran

Entanglement is the central yet fleeting phenomena of quantum physics. Once being considered a peculiar counter-intuitive property of quantum theory it has developed into the most central element of quantum technology providing speed up to…

We present a modified finite temperature Lanczos method for the evaluation of dynamical and static quantities of strongly correlated electron systems that complements the finite temperature method (FTLM) introduced by Jaklic and Prelovsek…

Strongly Correlated Electrons · Physics 2007-05-23 Markus Aichhorn , Maria Daghofer , Hans Gerd Evertz , Wolfgang von der Linden

There is a dichotomy in the nonequilibrium dynamics of quantum many body systems. In the presence of integrability, expectation values of local operators equilibrate to values described by a generalized Gibbs ensemble, which retains…

Strongly Correlated Electrons · Physics 2019-05-15 Neil J. Robinson , Andrew J. A. James , Robert M. Konik

Rigorous derivations of the approach of individual elements of large isolated systems to a state of thermal equilibrium, starting from arbitrary initial states, are exceedingly rare. This is particularly true for quantum mechanical systems.…

Quantum Physics · Physics 2024-05-29 Stephan De Bievre , Marco Merkli , Paul E. Parris

We consider the class of dual-unitary quantum circuits in $1+1$ dimensions and introduce a notion of ``solvable'' matrix product states (MPSs), defined by a specific condition which allows us to tackle their time evolution analytically. We…

Statistical Mechanics · Physics 2020-03-17 Lorenzo Piroli , Bruno Bertini , J. Ignacio Cirac , Tomaz Prosen

The temperature dependence of the symmetry energy and the symmetry free energy coefficients of atomic nuclei is investigated in a finite temperature Thomas-Fermi framework employing the subtraction procedure. A substantial decrement in the…

Nuclear Theory · Physics 2015-06-04 J. N. De , S. K. Samaddar

We calculate the finite-temperature Tan's contact for N SU(2) fermions, characterized by repulsive contact interaction, trapped in a 1D harmonic confinement within a local density approximation on top of a thermodynamic Bethe Ansatz. The…

Quantum Gases · Physics 2020-02-11 P. Capuzzi , P. Vignolo

In the study of thermalization in finite isolated quantum systems, an inescapable issue is the definition of temperature. We examine and compare different possible ways of assigning temperatures to energies or equivalently to eigenstates in…

Statistical Mechanics · Physics 2023-02-03 Phillip C. Burke , Goran Nakerst , Masudul Haque

$\mathbb{Z}_2$ symmetry is ubiquitous in quantum mechanics where it drives various phase transitions and emergent physics. The role of $\mathbb{Z}_2$ symmetry in the thermalization of a local observable in a disordered system can be…

Statistical Mechanics · Physics 2026-04-14 Adway Kumar Das

The entanglement quantum properties of a spin-1/2 Ising-Heisenberg model on a symmetrical diamond chain were analyzed. Due to the separable nature of the Ising-type exchange interactions between neighboring Heisenberg dimers, calculation of…

Strongly Correlated Electrons · Physics 2012-06-19 N. S. Ananikian , L. N. Ananikyan , L. A. Chakhmakhchyan , Onofre Rojas