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We extend White's minimally entangled typically thermal states approach (METTS) to allow Abelian and non-Ablian symmetries to be exploited when computing finite-temperature response functions in one-dimensional (1D) quantum systems. Our…

Strongly Correlated Electrons · Physics 2015-09-08 Benedikt Bruognolo , Jan von Delft , Andreas Weichselbaum

We investigate the critical behavior and the duality property of the ferromagnetic $q$-state clock model on the square lattice based on the tensor-network formalism. From the entanglement spectra of local tensors defined in the original and…

Statistical Mechanics · Physics 2017-06-16 Jing Chen , Hai-Jun Liao , Hai-Dong Xie , Xing-Jie Han , Rui-Zhen Huang , Song Cheng , Zhong-Chao Wei , Zhi-Yuan Xie , Tao Xiang

In this paper we consider the decay of quantum entanglement, quantified by the concurrence, of a pair of two-level systems each of which is interacting with a reservoir at finite temperature T. For a broad class of initially entangled…

Quantum Physics · Physics 2013-05-29 Asma Al-Qasimi , Daniel F. V. James

Over the last years, Projected Entangled Pair States have demonstrated great power for the study of many body systems, as they naturally describe ground states of gapped many body Hamiltonians, and suggest a constructive way to encode and…

Quantum Physics · Physics 2016-09-02 Erez Zohar , Thorsten B. Wahl , Michele Burrello , J. Ignacio Cirac

We study the thermodynamic properties of spin systems with bond-disorder on small-world hypergraphs, obtained by superimposing a one-dimensional Ising chain onto a random Bethe graph with p-spin interactions. Using transfer-matrix…

Statistical Mechanics · Physics 2009-11-13 D. Bollé , R. Heylen

A hybrid lattice-statistical model of doubly decorated two-dimensional lattices, which have localized Ising spins at its nodal sites and itinerant electrons delocalized over decorating sites, is exactly solved with the help of a generalized…

Statistical Mechanics · Physics 2015-05-14 Jozef Strecka , Akinori Tanaka , Michal Jascur

Phase transitions involving spontaneous time-reversal symmetry breaking are studied on the honeycomb lattice at finite hole-doping with next-nearest-neighbor repulsion. We derive an exact expression for the mean-field equation of state in…

Strongly Correlated Electrons · Physics 2015-05-01 Wei Liu , Alexander Punnoose

Tensor network states, and in particular Projected Entangled Pair States (PEPS) have been a strong ansatz for the variational study of complicated quantum many-body systems, thanks to their built-in entanglement entropy area law. In this…

Quantum Physics · Physics 2023-01-12 Patrick Emonts , Ariel Kelman , Umberto Borla , Sergej Moroz , Snir Gazit , Erez Zohar

The strong connection between correlations and quantum thermodynamics raises a natural question about the preparation of correlated quantum states from two copies of a thermal qubit. In this work we study the specific forms of allowed and…

Quantum Physics · Physics 2019-08-07 Tamal Guha , Mir Alimuddin , Preeti Parashar

Most common types of symmetry breaking in quasi-one-dimensional electronic systems possess a combined manifold of states degenerate with respect to both the phase $\theta$ and the amplitude $A$ sign of the order parameter $A\exp(i\theta)$.…

Statistical Mechanics · Physics 2019-02-20 P. Karpov , S. Brazovskii

We study the generation of entangled states using a device constructed from dipolar bosons confined to a triple-well potential. Dipolar bosons possess controllable, long-range interactions. This property permits specific choices to be made…

Quantum Gases · Physics 2021-05-26 Arlei P. Tonel , Leandro H. Ymai , Karin Wittmann W. , Angela Foerster , Jon Links

We present an approach to identify topological order based on unbiased infinite projected entangled-pair states (iPEPS) simulations, i.e. where we do not impose a virtual symmetry on the tensors during the optimization of the tensor network…

Strongly Correlated Electrons · Physics 2020-09-04 S. P. G. Crone , P. Corboz

Within gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time t=0. A steady state forms and expands in space. For the 2+1-dimensional…

High Energy Physics - Theory · Physics 2017-10-25 Johanna Erdmenger , Daniel Fernandez , Mario Flory , Eugenio Megias , Ann-Kathrin Straub , Piotr Witkowski

In this paper, some relations between the topological parameter $d$ and concurrences of the projective entangled states have been presented. It is shown that for the case with $d=n$, all the projective entangled states of two…

Quantum Physics · Physics 2015-05-18 Chunfang Sun , Kang Xue , Gangcheng Wang , Chunfeng Wu

An algorithm of the tensor renormalization group is proposed based on a randomized algorithm for singular value decomposition. Our algorithm is applicable to a broad range of two-dimensional classical models. In the case of a square…

Statistical Mechanics · Physics 2018-03-23 Satoshi Morita , Ryo Igarashi , Hui-Hai Zhao , Naoki Kawashima

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

We study the bipartite entanglement per bond to determine characteristic features of the phase diagram of various quantum spin models in different spatial dimensions. The bipartite entanglement is obtained from a tensor network…

Quantum Physics · Physics 2016-07-07 B. Braiorr-Orrs , M. Weyrauch , M. V. Rakov

We study the d - dimensional Bose gas at finite temperature using the renormalization group method. The flow - equations and the free energy have been obtained for dimension d, and the cases d<2 and d=2 have been analysed in the limit of…

Condensed Matter · Physics 2009-11-07 M. Crisan , D. Bodea , I. Grosu , I. Tifrea

In the tensor-network framework, the expectation values of two-dimensional quantum states are evaluated by contracting a double-layer tensor network constructed from initial and final tensor-network states. The computational cost of…

Strongly Correlated Electrons · Physics 2017-07-24 Z. Y. Xie , H. J. Liao , R. Z. Huang , H. D. Xie , J. Chen , Z. Y. Liu , T. Xiang

We present calculations of the time-evolution of the driven-dissipative XYZ model using the infinite Projected Entangled Pair Operator (iPEPO) method, introduced by [A. Kshetrimayum, H. Weimer and R. Or\'us, Nat. Commun. 8, 1291 (2017)]. We…

Other Condensed Matter · Physics 2021-06-03 Dainius Kilda , Alberto Biella , Marco Schiró , Rosario Fazio , Jonathan Keeling
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