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View article: Generalized hydrodynamics of integrable quantum circuits
Generalized hydrodynamics of integrable quantum circuits Open
Quantum circuits make it possible to simulate the continuous-time dynamics of a many-body Hamiltonian by implementing discrete Trotter steps of duration \tau . However, when \tau is sufficiently large, the discrete dynamics exhibit qua…
View article: Dynamical symmetry restoration in the Heisenberg spin chain
Dynamical symmetry restoration in the Heisenberg spin chain Open
The entanglement asymmetry is an observable independent tool to investigate the relaxation of quantum many-body systems through the restoration of an initially broken symmetry of the dynamics. In this paper we use this to investigate the e…
View article: Strong Zero Modes in Integrable Quantum Circuits
Strong Zero Modes in Integrable Quantum Circuits Open
It is a classic result that certain interacting integrable spin chains host robust edge modes known as strong zero modes (SZMs). In this Letter, we extend this result to the Floquet setting of local quantum circuits, focusing on a prototyp…
View article: Strong zero modes in integrable quantum circuits
Strong zero modes in integrable quantum circuits Open
It is a classic result that certain interacting integrable spin chains host robust edge modes known as strong zero modes (SZMs). In this work, we extend this result to the Floquet setting of local quantum circuits, focusing on a prototypic…
View article: On correlation functions in models related to the Temperley-Lieb algebra
On correlation functions in models related to the Temperley-Lieb algebra Open
We deal with quantum spin chains whose Hamiltonian arises from a representation of the Temperley-Lieb algebra, and we consider the mean values of those local operators which are generated by the Temperley-Lieb algebra. We present two key c…
View article: A comparison between female entrepreneurship in Morocco and France using Global Entrepreneurship Monitor data
A comparison between female entrepreneurship in Morocco and France using Global Entrepreneurship Monitor data Open
The phenomenon of entrepreneurship nowadays plays an important role in every country as it affects all areas of its economic and social life, including job creation and economic restructuring. In this article, we will examine the research …
View article: Report on 2309.07472v2
Report on 2309.07472v2 Open
We deal with quantum spin chains whose Hamiltonian arises from a representation of the Temperley-Lieb algebra, and we consider the mean values of those local operators which are generated by the Temperley-Lieb algebra.We present two key co…
View article: Report on 2309.07472v2
Report on 2309.07472v2 Open
We deal with quantum spin chains whose Hamiltonian arises from a representation of the Temperley-Lieb algebra, and we consider the mean values of those local operators which are generated by the Temperley-Lieb algebra.We present two key co…
View article: Integrable Quantum Circuits from the Star-Triangle Relation
Integrable Quantum Circuits from the Star-Triangle Relation Open
The star-triangle relation plays an important role in the realm of exactly solvable models, offering exact results for classical two-dimensional statistical mechanical models. In this article, we construct integrable quantum circuits using…
View article: Report on 2309.07472v2
Report on 2309.07472v2 Open
We deal with quantum spin chains whose Hamiltonian arises from a representation of the Temperley-Lieb algebra, and we consider the mean values of those local operators which are generated by the Temperley-Lieb algebra.We present two key co…
View article: On correlation functions in models related to the Temperley-Lieb algebra
On correlation functions in models related to the Temperley-Lieb algebra Open
We deal with quantum spin chains whose Hamiltonian arises from a representation of the Temperley-Lieb algebra, and we consider the mean values of those local operators which are generated by the Temperley-Lieb algebra. We present two key c…
View article: Integrable Digital Quantum Simulation: Generalized Gibbs Ensembles and Trotter Transitions
Integrable Digital Quantum Simulation: Generalized Gibbs Ensembles and Trotter Transitions Open
The Trotter-Suzuki decomposition is a promising avenue for digital quantum simulation (DQS), approximating continuous-time dynamics by discrete Trotter steps of duration τ. Recent work suggested that DQS is typically characterized by a sha…
View article: Integrable Quantum Circuits from the Star-Triangle Relation
Integrable Quantum Circuits from the Star-Triangle Relation Open
The star-triangle relation plays an important role in the realm of exactly solvable models, offering exact results for classical two-dimensional statistical mechanical models. In this article, we construct integrable quantum circuits using…
View article: Symmetry-breaking-induced loss of ergodicity in maps of the simplex with inversion symmetry
Symmetry-breaking-induced loss of ergodicity in maps of the simplex with inversion symmetry Open
Motivated by proving the loss of ergodicity in expanding systems of piecewise affine coupled maps with arbitrary number of units, all-to-all coupling and inversion symmetry, we provide ad-hoc substitutes - namely inversion-symmetric maps o…
View article: Probing Symmetries of Quantum Many-Body Systems through Gap Ratio Statistics
Probing Symmetries of Quantum Many-Body Systems through Gap Ratio Statistics Open
The statistics of gap ratios between consecutive energy levels is a widely\nused tool, in particular in the context of many-body physics, to distinguish\nbetween chaotic and integrable systems, described respectively by Gaussian\nensembles…
View article: Integrable spin chain with Hilbert space fragmentation and solvable real-time dynamics
Integrable spin chain with Hilbert space fragmentation and solvable real-time dynamics Open
We revisit the so-called folded XXZ model, which was treated earlier by two independent research groups. We argue that this spin-1/2 chain is one of the simplest quantum integrable models, yet it has quite remarkable physical properties. T…
View article: An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics Open
We revisit the so-called folded XXZ model, which was treated earlier by two independent research groups. We argue that this spin-1/2 chain is one of the simplest quantum integrable models, yet it has quite remarkable physical properties. T…
View article: Onsager symmetries in $U(1)$ -invariant clock models
Onsager symmetries in $U(1)$ -invariant clock models Open
We show how the Onsager algebra, used in the original solution of the two-dimensional Ising model, arises as an infinite-dimensional symmetry of certain self-dual models that also have a symmetry. We describe in detail the example of neare…
View article: Diversité du conseil d'administration et politique de dividende des grands groupes bancaires systémiques : théories et investigations empiriques
Diversité du conseil d'administration et politique de dividende des grands groupes bancaires systémiques : théories et investigations empiriques Open
This study examines the association between the diversity of the board of directors of the 30 systemic banking groups and their dividend distribution policy. The analysis of panel data using the GMM (Generalised Method of Moments) estimato…
View article: Report on 1611.02236v1
Report on 1611.02236v1 Open
We revisit the phase diagram of spin-1 su(2) k anyonic chains, originally studied by Gils et.al. [Phys.Rev. B, 87 (23) (2013)].These chains possess several integrable points, which were overlooked (or only briefly considered) so far.Exploi…
View article: Report on 1611.02236v1
Report on 1611.02236v1 Open
We revisit the phase diagram of spin-1 su(2) k anyonic chains, originally studied by Gils et.al. [Phys.Rev. B, 87 (23) (2013)].These chains possess several integrable points, which were overlooked (or only briefly considered) so far.Exploi…
View article: Report on 1611.02236v1
Report on 1611.02236v1 Open
We revisit the phase diagram of spin-1 su(2) k anyonic chains, originally studied by Gils et.al. [Phys.Rev. B, 87 (23) (2013)].These chains possess several integrable points, which were overlooked (or only briefly considered) so far.Exploi…
View article: Quasilocal charges and the complete GGE for field theories with non-diagonal scattering
Quasilocal charges and the complete GGE for field theories with non-diagonal scattering Open
It has recently been shown that some integrable spin chains possess a set of quasilocal conserved charges, with the classic example being the spin-$\frac{1}{2}$ XXZ Heisenberg chain. These charges have been proven to be essential for prope…
View article: <i>Q</i>-colourings of the triangular lattice: exact exponents and conformal field theory
<i>Q</i>-colourings of the triangular lattice: exact exponents and conformal field theory Open
The corresponding conformal field theory is identified and the exact critical exponents are derived. We discuss their implications for the phase diagram of the antiferromagnetic triangular-lattice Potts model at non-zero temperature. Final…
View article: Dilute oriented loop models
Dilute oriented loop models Open
We study a model of dilute oriented loops on the square lattice, where each\nloop is compatible with a fixed, alternating orientation of the lattice edges.\nThis implies that loop strands are not allowed to go straight at vertices, and\nre…
View article: A new look at the collapse of two-dimensional polymers
A new look at the collapse of two-dimensional polymers Open
We study the collapse of two-dimensional polymers, via an O($n$) model on the square lattice that allows for dilution, bending rigidity and short-range monomer attractions. This model contains two candidates for the theta point, $Θ_{\rm BN…
View article: Non compact conformal field theories in statistical mechanics
Non compact conformal field theories in statistical mechanics Open
The critical points of statistical mechanical systems in 2 dimensions or quantum mechanical systems in 1+1 dimensions, as well as some aspects of non interacting systems in 2+1 dimensions, are efficiently tackled by the methods of conforma…