English
Related papers

Related papers: Projected d-wave superconducting state: a fermioni…

200 papers

We develop and benchmark a technique for simulating excitation spectra of generic two-dimensional quantum lattice systems using the framework of projected entangled-pair states (PEPS). The technique relies on a variational ansatz for…

Strongly Correlated Electrons · Physics 2019-04-24 Laurens Vanderstraeten , Jutho Haegeman , Frank Verstraete

Tensor network states and parton wave functions are two pivotal methods for studying quantum many-body systems. This work connects these two subjects as we demonstrate that a variety of parton wave functions, such as projected Fermi sea and…

Strongly Correlated Electrons · Physics 2020-06-22 Ying-Hai Wu , Lei Wang , Hong-Hao Tu

Recent experiments strongly suggest that a Fermi surface reconstruction and multiple Fermi pockets are important common features of the underdoped high-temperature cuprate superconductors. A related theoretical work [Phys. Rev. B 79, 134512…

Superconductivity · Physics 2011-08-12 Rajdeep Sensarma , Victor Galitski

We present an improved version of the algorithm contracting and optimizing finite projected entangled pair states (fPEPS) in conjunction with projected entangled pair operators (PEPOs). Our work has two components to it. First, we explain…

Strongly Correlated Electrons · Physics 2025-11-04 Markus Scheb

We show that Projected Entangled-Pair States (PEPS) in two spatial dimensions can describe chiral topological states by explicitly constructing a family of such states with a non-trivial Chern number. They are ground states of two different…

Strongly Correlated Electrons · Physics 2013-12-20 T. B. Wahl , H. -H. Tu , N. Schuch , J. I. Cirac

Gauged gaussian Projected Entangled Pair States are particular tensor network constructions that describe lattice states of fermionic matter interacting with dynamical gauge fields. We show how one can efficiently compute, using Monte-Carlo…

Quantum Physics · Physics 2018-02-27 Erez Zohar , J. Ignacio Cirac

Efficient characterization of higher dimensional many-body physical states presents significant challenges. In this paper, we propose a new class of Project Entangled Pair State (PEPS) that incorporates two isometric conditions. This new…

Quantum Physics · Physics 2025-01-14 Xie-Hang Yu , J. Ignacio Cirac , Pavel Kos , Georgios Styliaris

An algorithm for imaginary time evolution of a fermionic projected entangled pair state (PEPS) with ancillas from infinite temperature down to a finite temperature state is presented. As a benchmark application, it is applied to spinless…

Strongly Correlated Electrons · Physics 2015-06-18 Piotr Czarnik , Jacek Dziarmaga

We present a scheme to perform an iterative variational optimization with infinite projected entangled-pair states (iPEPS), a tensor network ansatz for a two-dimensional wave function in the thermodynamic limit, to compute the ground state…

Strongly Correlated Electrons · Physics 2017-05-02 Philippe Corboz

We argue and demonstrate that projected entangled-pair states (PEPS) outperform matrix product states significantly for the task of generative modeling of datasets with an intrinsic two-dimensional structure such as images. Our approach…

Quantum Physics · Physics 2022-02-17 Tom Vieijra , Laurens Vanderstraeten , Frank Verstraete

We present a bosonic model, in which two bosons may form a bound pair with d-wave symmetry via the four-site ring exchange interaction. A d-wave pairing superfluid as well as a d-wave density wave (DDW) state, are proposed to be achievable…

Quantum Gases · Physics 2011-03-22 Zi Cai , Lei Wang , Jian Li , Shu Chen , X. C. Xie , Yupeng Wang

We propose a new class of tensor-network states, which we name projected entangled simplex states (PESS), for studying the ground-state properties of quantum lattice models. These states extend the pair-correlation basis of projected…

Strongly Correlated Electrons · Physics 2014-04-18 Z. Y. Xie , J. Chen , J. F. Yu , X. Kong , B. Normand , T. Xiang

Projected entangled pair states (PEPS) offer memory-efficient representations of some quantum many-body states that obey an entanglement area law, and are the basis for classical simulations of ground states in two-dimensional (2d)…

Chiral Spin Liquids (CSL) based on spin-1/2 fermionic Projected Entangled Pair States (fPEPS) are considered on the square lattice. First, fPEPS approximants of Gutzwiller-projected Chern insulators (GPCI) are investigated by Variational…

Strongly Correlated Electrons · Physics 2025-02-04 Sasank Budaraju , Didier Poilblanc , Sen Niu

Variational studies of the t-J model on the square lattice based on infinite projected-entangled pair states (iPEPS) confirm an extremely close competition between a uniform d-wave superconducting state and different stripe states. The…

Strongly Correlated Electrons · Physics 2015-06-18 Philippe Corboz , T. M. Rice , Matthias Troyer

Tensor networks, a model that originated from quantum physics, has been gradually generalized as efficient models in machine learning in recent years. However, in order to achieve exact contraction, only tree-like tensor networks such as…

Computer Vision and Pattern Recognition · Computer Science 2021-03-17 Song Cheng , Lei Wang , Pan Zhang

Gutzwiller projections of non-interacting chiral topological phases are known to give rise to fractional, topologically ordered chiral phases. Here, we carry out a similar construction using two copies of non-interacting Euler insulators to…

Strongly Correlated Electrons · Physics 2025-08-18 Thorsten B. Wahl , Lukas Devos , Robert-Jan Slager

Projected entangled pair states (PEPS) are very useful in the description of strongly correlated systems, partly because they allow encoding symmetries, either global or local (gauge), naturally. In recent years, PEPS with local symmetries…

High Energy Physics - Lattice · Physics 2025-08-25 David Blanik , José Garre-Rubio , András Molnár , Erez Zohar

Projected Entangled Pair States (PEPS) are a class of quantum many-body states that generalize Matrix Product States for one-dimensional systems to higher dimensions. In recent years, PEPS have advanced understanding of strongly correlated…

Strongly Correlated Electrons · Physics 2025-01-13 Siddhartha Patra , Sukhbinder Singh , Román Orús

We demonstrate the use of finite-size fermionic projected entangled pair states, in conjunction with variational Monte Carlo, to perform accurate simulations of the ground-state of the 2D Hubbard model. Using bond dimensions of up to…

Strongly Correlated Electrons · Physics 2025-06-26 Wen-Yuan Liu , Huanchen Zhai , Ruojing Peng , Zheng-Cheng Gu , Garnet Kin-Lic Chan