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We explain how to implement, in the context of projected entangled-pair states (PEPS), the general procedure of fermionization of a tensor network introduced in [P. Corboz, G. Vidal, Phys. Rev. B 80, 165129 (2009)]. The resulting fermionic…

Strongly Correlated Electrons · Physics 2010-04-29 Philippe Corboz , Roman Orus , Bela Bauer , Guifre Vidal

Entangled coherent states play pivotal roles in various fields such as quantum computation, quantum communication, and quantum sensing. We experimentally demonstrate the generation of entangled coherent states with the two-dimensional…

Quantum Physics · Physics 2024-03-26 Honggi Jeon , Jiyong Kang , Jaeun Kim , Wonhyeong Choi , Kyunghye Kim , Taehyun Kim

We study the nonlinear response of non-integrable 1D spin models using infinite matrix-product state techniques. As a benchmark and demonstration of the method, we first calculate the 2D coherent spectroscopy for the exactly soluble…

Strongly Correlated Electrons · Physics 2023-03-29 GiBaik Sim , Johannes Knolle , Frank Pollmann

Pairs of photons entangled in their time-frequency degree of freedom are of great interest in quantum optics research and applications, due to their relative ease of generation and their high capacity for encoding information. Here we…

Quantum Physics · Physics 2022-02-23 Sofiane Merkouche , Valérian Thiel , Brian J. Smith

While two-photon absorption (TPA) and other forms of nonlinear interactions of molecules with isolated time-frequency-entangled photon pairs (EPP) have been predicted to display a variety of fascinating effects, their potential use in…

Representing spectral densities, real-frequency, and real-time Green's functions of continuous systems by a small discrete set of complex poles is an ubiquitous problem in condensed matter physics, with applications ranging from quantum…

Strongly Correlated Electrons · Physics 2025-06-04 Lei Zhang , André Erpenbeck , Yang Yu , Emanuel Gull

High-dimensional entanglement in the form of transverse spatial correlation between a pair of photons generated via spontaneous parametric downconversion is not only a valuable resource in many academic and real-life applications but also…

Quantum Physics · Physics 2025-08-18 Rounak Chatterjee , Vikas S Bhat , Kiran Bajar , Sushil Mujumdar

Two dimensional tensor networks such as projected entangled pairs states (PEPS) are generally hard to contract. This is arguably the main reason why variational tensor network methods in 2D are still not as successful as in 1D. However,…

Quantum Physics · Physics 2016-12-07 Anurag Anshu , Itai Arad , Aditya Jain

An efficient algorithm is constructed for contracting two-dimensional tensor networks under periodic boundary conditions. The central ingredient is a novel renormalization step that scales linearly with system size, i.e. from $L \to L+1$.…

Strongly Correlated Electrons · Physics 2025-04-17 Gleb Fedorovich , Lukas Devos , Jutho Haegeman , Laurens Vanderstraeten , Frank Verstraete , Atsushi Ueda

There are now hundreds of publicly available supernova spectral time series. Radiative transfer modeling of this data gives insights into the physical properties of these explosions such as the composition, the density structure, or the…

High Energy Astrophysical Phenomena · Physics 2020-01-15 C. Vogl , W. E. Kerzendorf , S. A. Sim , U. M. Noebauer , S. Lietzau , W. Hillebrandt

We study the antiferromagnetic kagome Heisenberg model with additional scalar-chiral interaction by using the infinite projected entangled-pair state (iPEPS) ansatz. We discuss in detail the implementation of optimization algorithm in the…

Strongly Correlated Electrons · Physics 2019-05-29 R. Haghshenas , Shou-Shu Gong , D. N. Sheng

Spectrally correlated photon pairs can be used to improve performance of long range fiber based quantum communication protocols. We present a source based on spontaneous parametric down-conversion producing polarization entangled photons…

Optics · Physics 2014-03-28 Thomas Lutz , Piotr Kolenderski , Thomas Jennewein

We show how to create maximal entanglement between spectrally distinct solid-state emitters embedded in a waveguide interferometer. By revealing the rich underlying structure of multi-photon scattering in emitters, we show that a two-photon…

Quantum Physics · Physics 2019-07-17 David L. Hurst , Kristoffer B. Joanesarson , Jake Iles-Smith , Jesper Mørk , Pieter Kok

The formalism developed in Refs.\cite{Guo:2023ecc,Guo:2024zal} that connects integrated correlation function of a trapped two-particle system to infinite volume scattering phase shift is further extended to coupled-channel systems in the…

High Energy Physics - Lattice · Physics 2025-02-25 Peng Guo , Frank X. Lee

Exceptional points (EPs) in non-Hermitian photonic systems enable unconventional control of wave amplitude and phase. However, identifying the EPs in multidimensional parameter space of a system can be nontrivial and, in some cases, even…

Optics · Physics 2026-04-17 Y. F. Li , Biao Chen , Y. Wu , Y. Liu , H. Lin , Bin Zhou

Projected entangled-pair states (PEPS) have proven effective in capturing chiral spin liquid ground states, yet the presence of long-range ``gossamer'' correlation tails raises concerns about their ability to accurately describe bulk gaps.…

Strongly Correlated Electrons · Physics 2025-02-28 Ji-Yao Chen , Yi Tan , Sylvain Capponi , Didier Poilblanc , Fei Ye , Jia-Wei Mei

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

Tensor network states, and in particular projected entangled pair states (PEPS), suggest an innovative approach for the study of lattice gauge theories, both from a pure theoretic point of view, and as a tool for the analysis of the recent…

Quantum Physics · Physics 2016-04-12 Erez Zohar , Michele Burrello

The exact contraction of a generic two-dimensional (2D) tensor network state (TNS) is known to be exponentially hard, making simulation of 2D systems difficult. The recently introduced class of isometric TNS (isoTNS) represents a subset of…

Strongly Correlated Electrons · Physics 2023-06-13 Yantao Wu , Sajant Anand , Sheng-Hsuan Lin , Frank Pollmann , Michael P. Zaletel

Photonic crystals (PCs) offer unique ways to control light-matter interactions. The measurement of dispersion relations is a fundamental prerequisite if we are to create novel functionalities in PC devices. Angle-resolved spectroscopic…