205 citations · 3k across the 122 of their papers we have counts for
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Entanglement in non-critical inhomogeneous quantum chains
Nadir Samos Sáenz de Buruaga, Silvia N. Santalla, Javier Rodríguez-Laguna +1
We study an inhomogeneous critical Ising chain in a transverse field whose couplings decay exponentially from the center. In the strong inhomogeneity limit we apply Fisher's renorm…
Piercing the rainbow: entanglement on an inhomogeneous spin chain with a defect
Nadir Samos Sáenz de Buruaga, Silvia N. Santalla, Javier Rodríguez-Laguna +1
The {\em rainbow state} denotes a set of valence bond states organized concentrically around the center of a spin 1/2 chain. It is the ground state of an inhomogeneous XX Hamiltoni…
Multi-Layer Restricted Boltzmann Machine Representation of 1D Quantum Many-Body Wave Functions
Huan He, Yunqin Zheng, B. Andrei Bernevig +1
We consider representing two classes of 1D quantum wave functions of spin systems, including the AKLT and CFT correlator wave functions, in terms of multi-layer restricted Boltzman…
Symmetry protected phases in inhomogeneous spin chains
Nadir Samos Sáenz de Buruaga, Silvia N. Santalla, Javier Rodríguez-Laguna +1
It has been shown recently that inhomogenous spin chains can exhibit exotic phenomena such as the breaking of the area law of the entanglement entropy. An example is given by the r…
Unusual area-law violation in random inhomogeneous systems
Vincenzo Alba, Silvia N. Santalla, Paola Ruggiero +3
The discovery of novel entanglement patterns in quantum many-body systems is a prominent research direction in contemporary physics. Here we provide the example of a spin chain wit…
Non-Abelian quasiholes in lattice Moore-Read states and parent Hamiltonians
Sourav Manna, Julia Wildeboer, Germán Sierra +1
This work concerns Ising quasiholes in Moore-Read type lattice wave functions derived from conformal field theory. We commence with constructing Moore-Read type lattice states and…
Bosonic Gaussian states from conformal field theory
Benedikt Herwerth, Germán Sierra, J. Ignacio Cirac +1
We study nonchiral wave functions for systems with continuous spins obtained from the conformal field theory (CFT) of a free, massless boson. In contrast to the case of discrete sp…
The BCS wave function, matrix product states, and the Ising conformal field theory
Sebastian Montes, Javier Rodríguez-Laguna, Germán Sierra
We present a characterization of the many-body lattice wave functions obtained from the conformal blocks (CBs) of the Ising conformal field theory (CFT). The formalism is interpret…
Effective description of correlations for states obtained from conformal field theory
Benedikt Herwerth, Germán Sierra, J. Ignacio Cirac +1
We study states of one- and two-dimensional spin systems that are constructed as correlators within the conformal field theory of a massless, free boson. In one dimension, these ar…
More on the rainbow chain: entanglement, space-time geometry and thermal states
Javier Rodríguez-Laguna, Jérôme Dubail, Giovanni Ramírez +2
The rainbow chain is an inhomogenous exactly solvable local spin model that, in its ground state, displays a half-chain entanglement entropy growing linearly with the system size.…
Many-body Lattice Wavefunctions From Conformal Blocks
Sebastian Montes, Javier Rodríguez-Laguna, Hong-Hao Tu +1
We introduce a general framework to construct many-body lattice wavefunctions starting from the conformal blocks (CBs) of rational conformal field theories (RCFTs). We discuss the…
Lattice effects on Laughlin wave functions and parent Hamiltonians
Ivan Glasser, J. Ignacio Cirac, Germán Sierra +1
We investigate lattice effects on wave functions that are lattice analogues of bosonic and fermionic Laughlin wave functions with number of particles per flux in the Landau…
No-Go Theorem for Boson Condensation in Topologically Ordered Quantum Liquids
Titus Neupert, Huan He, Curt von Keyserlingk +2
Certain phase transitions between topological quantum field theories (TQFT) are driven by the condensation of bosonic anyons. However, as bosons in a TQFT are themselves nontrivial…
Boson Condensation in Topologically Ordered Quantum Liquids
Titus Neupert, Huan He, Curt von Keyserlingk +2
Boson condensation in topological quantum field theories (TQFT) has been previously investigated through the formalism of Frobenius algebras and the use of vertex lifting coefficie…
Edge states for the Kalmeyer-Laughlin wave function
Benedikt Herwerth, Germán Sierra, Hong-Hao Tu +2
We study lattice wave functions obtained from the SU(2) Wess-Zumino-Witten conformal field theory. Following Moore and Read's construction, the Kalmeyer-Laughlin fractional qua…
Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models
Ivan Glasser, J. Ignacio Cirac, Germán Sierra +1
We introduce a family of strongly-correlated spin wave functions on arbitrary spin-1/2 and spin-1 lattices in one and two dimensions. These states are lattice analogues of Moore-Re…
Infinite matrix product states, boundary conformal field theory, and the open Haldane-Shastry model
Hong-Hao Tu, Germán Sierra
We show that infinite Matrix Product States (MPS) constructed from conformal field theories can describe ground states of one-dimensional critical systems with open boundary condit…
Excited States in Spin Chains from Conformal Blocks
Benedikt Herwerth, Germán Sierra, Hong-Hao Tu +1
We develop a method of constructing excited states in one dimensional spin chains which are derived from the Wess-Zumino-Witten Conformal Field Theory (CFT) using a paren…
From conformal to volume-law for the entanglement entropy in exponentially deformed critical spin 1/2 chains
Giovanni Ramírez, Javier Rodríguez-Laguna, Germán Sierra
An exponential deformation of 1D critical Hamiltonians gives rise to ground states whose entanglement entropy satisfies a volume-law. This effect is exemplified in the XX and Heise…
Construction of spin models displaying quantum criticality from quantum field theory
Ivan Glasser, J. Ignacio Cirac, Germán Sierra +1
We provide a method for constructing finite temperature states of one-dimensional spin chains displaying quantum criticality. These models are constructed using correlators of prod…
Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
Hong-Hao Tu, Anne E. B. Nielsen, Germán Sierra
We propose 1D and 2D lattice wave functions constructed from the SU(n)_1 Wess-Zumino-Witten (WZW) model and derive their parent Hamiltonians. When all spins in the lattice transfor…
Bosonic fractional quantum Hall states on the torus from conformal field theory
Anne E. B. Nielsen, Germán Sierra
The Kalmeyer-Laughlin state, which is a lattice version of the bosonic Laughlin state at filling factor one half, has attracted much attention due to its topological and chiral spi…
Lattice Laughlin States of Bosons and Fermions at Filling Fractions
Hong-Hao Tu, Anne E. B. Nielsen, J. Ignacio Cirac +1
We introduce a two-parameter family of strongly-correlated wave functions for bosons and fermions in lattices. One parameter, , is connected to the filling fraction. The other o…
Optical lattice implementation scheme of a bosonic topological model with fermionic atoms
Anne E. B. Nielsen, Germán Sierra, J. Ignacio Cirac
We present a scheme to implement a Fermi-Hubbard-like model in ultracold atoms in optical lattices and analyze the topological features of its ground state. In particular, we show…