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This work is dedicated to the study of a supersymmetric quantum spherical spin system with short-range interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at…

Statistical Mechanics · Physics 2020-02-24 L. V. T. Tavares , L. G. dos Santos , G. T. Landi , Pedro R. S. Gomes , P. F. Bienzobaz

We explore the effects of continuous number density measurement on atoms in an optical lattice. By integrating a master equation for quantum observables, we calculate how single particle correlations decay. We consider weakly- and strongly-…

Quantum Gases · Physics 2014-08-12 Yariv Yanay , Erich J. Mueller

The pair correlation function of a strongly interacting one-dimensional quantum dot is evaluated analytically within the framework of the spin coherent Luttinger liquid model. The influence of electron interactions and temperature on the…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 N. Traverso Ziani , F. Cavaliere , E. Mariani , M. Sassetti

We study the coherent quantum evolution of a closed and driven mesoscopic chain of two-level systems that interact via the van-der-Waals interaction in their excited state. The Hamiltonian consists of a part corresponding to a classical…

Statistical Mechanics · Physics 2010-09-10 Igor Lesanovsky , Beatriz Olmos , Juan P. Garrahan

We study correlations in fermionic lattice systems with long-range interactions in thermal equilibrium. We prove a bound on the correlation decay between anti-commuting operators and generalize a long-range Lieb-Robinson type bound. Our…

Quantum Physics · Physics 2017-09-15 Senaida Hernández-Santana , Christian Gogolin , J. Ignacio Cirac , Antonio Acín

The pair correlations in mesoscopic systems such as $nm$-size superconducting clusters and nuclei are studied at finite temperature for the canonical ensemble of fermions in model spaces with a fixed particle number: i) a degenerate…

Atomic and Molecular Clusters · Physics 2009-11-10 S. Frauendorf , N. K. Kuzmenko , V. M. Mikhajlov , J. Sheikh

We explore the potential application of quantum computers to the examination of lattice holography, which extends to the strongly-coupled bulk theory regime. With adiabatic evolution, we compute the ground state of a spin system on a…

High Energy Physics - Lattice · Physics 2023-12-19 Ying-Ying Li , Muhammad Omer Sajid , Judah Unmuth-Yockey

The heat kernel on the symmetric space of positive definite Hermitian matrices is used to endow the spaces of Bergman metrics of degree k on a Riemann surface M with a family of probability measures depending on a choice of the background…

Probability · Mathematics 2016-08-10 Semyon Klevtsov , Steve Zelditch

We derive a dynamical bound on the propagation of correlations in local random quantum circuits - lattice spin systems where piecewise quantum operations - in space and time - occur with classical probabilities. Correlations are quantified…

Quantum Physics · Physics 2017-05-15 Siddhartha Santra , Radhakrishnan Balu

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

We consider the entanglement Hamiltonian for an interval in a chain of free fermions in its ground state and show that the lattice expression goes over into the conformal one if one includes the hopping to distant neighbours in the…

Statistical Mechanics · Physics 2019-07-22 Viktor Eisler , Erik Tonni , Ingo Peschel

In traditional thermodynamics, temperature is a local quantity: a subsystem of a large thermal system is in a thermal state at the same temperature as the original system. For strongly interacting systems, however, the locality of…

Generally, the local interactions in a many-body quantum spin system on a lattice do not commute with each other. Consequently, the Hamiltonian of a local region will generally not commute with that of the entire system, and so the two…

Quantum Physics · Physics 2016-04-11 Itai Arad , Tomotaka Kuwahara , Zeph Landau

We demonstrate that it is possible to prepare a lattice gas of ultracold atoms with a desired non-classical spin-correlation function using atom-light interaction of the kind routinely employed in quantum spin polarization spectroscopy. Our…

Quantum Physics · Physics 2013-03-15 P. Hauke , R. J. Sewell , M. W. Mitchell , M. Lewenstein

The physics of interacting nuclear spins arranged in a crystalline lattice is typically described using a thermodynamic framework: a variety of experimental studies in bulk solid-state systems have proven the concept of a spin temperature…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 P. Maletinsky , M. Kroner , A. Imamoglu

We investigate entanglement generation in one-dimensional quantum spin systems with the sinusoidal deformation. In the system, the energy scale of each local term in the Hamiltonian is modified according to a position-dependent function…

Quantum Physics · Physics 2013-05-28 Toshiya Hikihara , Takafumi Suzuki

We present a method to compute the magnetic susceptibility of spin systems at all temperatures in one and two dimensions. It relies on an approximation of the entropy versus energy (microcanonical potential function) on the whole range of…

Strongly Correlated Electrons · Physics 2015-06-22 B. Bernu , C. Lhuillier

A modified spin-wave theory is applied to the one-dimensional quantum Heisenberg model with long-range ferromagnetic interactions. Low-temperature properties of this model are investigated. The susceptibility and the specific heat are…

Condensed Matter · Physics 2009-10-22 Hiroki Nakano , Minoru Takahashi

We demonstrate a probe for nearest-neighbor correlations of fermionic quantum gases in optical lattices. It gives access to spin and density configurations of adjacent sites and relies on creating additional doubly occupied sites by…

Quantum Gases · Physics 2011-04-19 Daniel Greif , Leticia Tarruell , Thomas Uehlinger , Robert Jördens , Tilman Esslinger

We prove sharp two-sided global estimates for the heat kernel associated with a Euclidean sphere of arbitrary dimension. This solves a long-standing open problem.

Classical Analysis and ODEs · Mathematics 2019-11-19 Adam Nowak , Peter Sjögren , Tomasz Z. Szarek