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The principle of local covariance which was recently introduced admits a generally covariant formulation of quantum field theory. It allows a discussion of structural properties of quantum field theory as well as the perturbative…

High Energy Physics - Theory · Physics 2007-05-23 Klaus Fredenhagen

We study the quantum spin pumping of an antiferromagnetic spin-1/2 chain with competing exchange interactions. We show that spatially periodic potential modulated in space and time acts as a quantum spin pump. In our model system, an…

Strongly Correlated Electrons · Physics 2009-11-13 Sujit Sarkar , C. D. Hu

We introduce a generalization of entanglement based on the idea that entanglement is relative to a distinguished subspace of observables rather than a distinguished subsystem decomposition. A pure quantum state is entangled relative to such…

Quantum Physics · Physics 2009-11-10 Howard Barnum , Emanuel Knill , Gerardo Ortiz , Rolando Somma , Lorenza Viola

In quantum spin systems obeying hyperscaling, the probability distribution of the total magnetization takes on a universal scaling form at criticality. We obtain this scaling function exactly for the ground state and first excited state of…

Statistical Mechanics · Physics 2009-11-13 Austen Lamacraft , Paul Fendley

Quantum spin liquids may be considered "quantum disordered" ground states of spin systems, in which zero point fluctuations are so strong that they prevent conventional magnetic long range order. More interestingly, quantum spin liquids are…

Strongly Correlated Electrons · Physics 2017-02-21 Lucile Savary , Leon Balents

Weak limits as the density tends to infinity of classical ground states of integrable pair potentials are shown to minimize the mean-field energy functional. By studying the latter we derive global properties of high-density ground state…

Other Condensed Matter · Physics 2015-03-17 Andras Suto

A set of new exact ground states of the generalized Hubbard models in arbitrary dimensions with explicitly given parameter regions is presented. This is based on a simple method for constructing exact ground states for homogeneous quantum…

Condensed Matter · Physics 2009-10-31 Sergio Albeverio , Shao-Ming Fei

We investigate the separability of quantum states based on covariance matrices. Separability criteria are presented for multipartite states. The lower bound of concurrence proposed in Phys. Rev. A. 75, 052320 (2007) is improved by…

Quantum Physics · Physics 2009-09-29 Ming Li , Shao-Ming Fei , Zhi-Xi Wang

In this short note, I review some recent results about gapped ground state phases of quantum spin systems and discuss the notion of topological order.

Mathematical Physics · Physics 2012-08-28 Sven Bachmann

The purpose of this paper is to determine quantum master and filter equations for systems coupled to fields in certain non-classical continuous-mode states. Specifically, we consider two types of field states (i) single photon states, and…

Quantum Physics · Physics 2011-07-18 J. E. Gough , M. R. James , H. I. Nurdin

An approach to the simulation of locally interacting systems is demonstrated and assayed. The proposal is built upon the concept of folding of bosonic modes previously introduced in the context of linear dynamics and can be seen as an…

Quantum Physics · Physics 2015-04-13 Jose Reslen

A recently proposed criterion for the existence of local quantum fields with a prescribed factorizing scattering matrix is verified in a non-trivial model, thereby establishing a new constructive approach to quantum field theory in a…

Mathematical Physics · Physics 2009-11-10 Gandalf Lechner

We show how the use of variational states to approximate the ground state of a system can be employed to study a multi-mode Dicke model. One of the main contributions of this work is the introduction of a not very commonly used quantity,…

Quantum Physics · Physics 2020-06-19 L. F. Quezada , E. Nahmad-Achar

We propose a new ansatz for the ground-state wave function of quantum many-body systems on a lattice. The key idea is to cover the lattice with plaquettes and obtain a state whose configurational weights can be optimized by means of a…

Strongly Correlated Electrons · Physics 2015-05-13 Fabio Mezzacapo , Norbert Schuch , Massimo Boninsegni , J. Ignacio Cirac

We introduce the concept of quantum field tomography, the efficient and reliable reconstruction of unknown quantum fields based on data of correlation functions. At the basis of the analysis is the concept of continuous matrix product…

Quantum Physics · Physics 2015-06-22 A. Steffens , C. A. Riofrío , R. Hübener , J. Eisert

The space of continuous states of perturbative interacting quantum field theories in globally hyperbolic curved spacetimes is determined. Following Brunetti and Fredenhagen, we first define an abstract algebra of observables which contains…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Stefan Hollands , Weihua Ruan

In this review we present a biased review of the ground state properties of the Falicov-Kimball models in 1,2 and infinite dimensions, considering either fermions or hard-core bosons. In particular we want to show the very rich structure…

Statistical Mechanics · Physics 2007-05-23 Christian Gruber

We consider a one-dimensional spin chain for which the ground state is the cluster state, capable of functioning as a quantum computational wire when subjected to local adaptive measurements of individual qubits, and investigate the…

Quantum Physics · Physics 2009-08-13 Stein Olav Skrøvseth , Stephen D. Bartlett

We define a distinguished "ground state" or "vacuum" for a free scalar quantum field in a globally hyperbolic region of an arbitrarily curved spacetime. Our prescription is motivated by the recent construction of a quantum field theory on a…

High Energy Physics - Theory · Physics 2015-03-20 Niayesh Afshordi , Siavash Aslanbeigi , Rafael D. Sorkin

Quantum many-body systems divide into a variety of phases with very different physical properties. The question of what kind of phases exist and how to identify them seems hard especially for strongly interacting systems. Here we make an…

Strongly Correlated Electrons · Physics 2015-05-19 Xie Chen , Zheng-Cheng Gu , Xiao-Gang Wen