93 citations · 725 across the 45 of their papers we have counts for
49 papers
Quantum Ising transition on the Cayley tree: boundary criticality, universality, and an effective Bethe line
Pietro Richelli, Natalia Chepiga
We investigate quantum criticality in the transverse-field Ising model on finite Cayley trees and demonstrate that their extensive boundary fundamentally changes the nature of the…
Criticality enabled long-range order in a U(1)-symmetric spin-1 Heisenberg chain with biquadratic interactions
Natalia Chepiga, Fabian H. L. Essler
In a recent paper Nahum argued on the basis of a renormalization-group analysis that, contrary to standard lore, ground states of 1D spin chains with short-range interactions can s…
Engineering Weak Universality with Quantum Dots
Warre Missiaen, Michael Wimmer, Natalia Chepiga
Quantum critical theories with continuously varying critical exponents remain challenging to access experimentally. Here, we propose quantum-dot architectures for realizing the qua…
Non-magnetic floating phases in frustrated Haldane chains with a single-ion anisotropy
Bowy M. La Riviere, Natalia Chepiga
We investigate the effect of a single-ion anisotropy on the bilinear-biquadratic spin-1 J1-J2 chain, focusing on the quantum phase transitions out of the trimerized phase. Using la…
Long-lived revivals and real-space fragmentation in chains of multispecies Rydberg atoms
Jose Soto-Garcia, Natalia Chepiga
Arrays of Rydberg atoms provide a powerful platform for exploring constrained quantum dynamics and nonergodic many-body phenomena. While most work has focused on single-species sys…
Extended Ashkin-Teller transition in two coupled frustrated Haldane chains
Bowy M. La Rivière, Natalia Chepiga
We report an extremely rich ground state phase diagram of two spin-1 Haldane chains frustrated with a three-site exchange and coupled by the antiferromagnetic Heisenberg interactio…
Boundary critical phenomena in the quantum Ashkin-Teller model
Yifan Liu, Natalia Chepiga, Yoshiki Fukusumi +1
We investigate the boundary critical phenomena of the one-dimensional quantum Ashkin-Teller model using boundary conformal field theory and density matrix renormalization group (DM…
Extreme statistics as a probe of the superfluid to Bose-glass Berezinskii-Kosterlitz-Thouless transition
Jeanne Colbois, Natalia Chepiga, Shaffique Adam +2
Recent studies of delocalization-localization transitions in disordered quantum chains have highlighted the role of rare, chain-breaking events that favor localization, in particul…
Commensurate-incommensurate Mott transition without magnetic field: emergence of nematic Luttinger liquid in XXZ chain
Julien Fitouchi, Natalia Chepiga
We investigate the zero-magnetization phase diagram of a spin-1/2 chain with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange couplings…
Confinement, deconfinement, and bound states in the spin- and spin- generalizations of the Majumdar--Ghosh chain
Aman Sharma, Mithilesh Nayak, Natalia Chepiga +2
We investigate the nature of low-energy excitations in a spin chain with antiferrmomagnetic nearest-neighbor , next-nearest-neighbor , and three-site interactions u…
Excitations and dynamical structure factor of spin- and spin- Heisenberg spin chains
Aman Sharma, Mithilesh Nayak, Natalia Chepiga +1
We study the dynamical structure factor of the frustrated spin- - Heisenberg chains, with particular focus on the partially dimerized phase that emerges between two…
Infinite randomness criticality and localization of the floating phase in arrays of Rydberg atoms trapped with non-perfect tweezers
Jose Soto-Garcia, Natalia Chepiga
Chains of Rydberg atoms have emerged as a powerful platform for exploring low-dimensional quantum physics. This success originates from the precise control of lattice geometries pr…
Exact zero modes in interacting Majorana X- and Y-junctions
Bowy M. La Rivière, Rik Mulder, Natalia Chepiga
We report the emergence of exact zero modes in junctions of two, three and four short interacting Majorana wires, equivalent to a chain with an impurity bond, Y- and X- junctions r…
Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy
Niels T. Pronk, Bowy M. La Rivière, Natalia Chepiga
We report a phase diagram of the antiferromagnetic spin-1 chain with nearest-neighbor Heisenberg and three-site interactions in the presence of single-ion anisotropy. We show that…
A tensor network formulation of Lattice Gauge Theories based only on symmetric tensors
Manu Canals, Natalia Chepiga, Luca Tagliacozzo
The Lattice Gauge Theory Hilbert space is divided into gauge-invariant sectors selected by the background charges. Such a projector can be directly embedded in a tensor network ans…
The quantum Kibble-Zurek mechanism: the role of boundary conditions, endpoints and kink types
Jose Soto Garcia, Natalia Chepiga
Quantum phase transitions are characterised by the universal scaling laws in the critical region surrounding the transitions. This universality is also manifested in the critical r…
Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
Jose Soto, Natalia Chepiga
Experiments on chains of Rydberg atoms appear as a new playground to study quantum phase transitions in 1D. As a natural extension, we report a quantitative ground-state phase diag…
Probing universal critical scaling with scan-DMRG
Natalia Chepiga
We explore the universal signatures of quantum phase transitions that can be extracted with the density matrix renormalization group (DMRG) algorithm applied to quantum chains with…
transitions in quantum loop models on a zig-zag ladder
Bowy M. La Rivière, Natalia Chepiga
We study the nature of quantum phase transitions out of ordered phases in quantum loop models on a zig-zag ladder. We report very rich critical behavior that include…
Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
Jose Soto Garcia, Natalia Chepiga
The experimental realization of the quantum Kibble-Zurek mechanism in arrays of trapped Rydberg atoms has brought the problem of commensurate-incommensurate transition back into th…
Realization of Wess-Zumino-Witten transitions with levels and in a frustrated spin-3 chain
Natalia Chepiga
We study dimerization transitions in a frustrated spin-3 chain with next-nearest neighbor and three-site interactions. We show that two independent coupling constants of the model…
Tunable quantum criticality in multicomponent Rydberg arrays
Natalia Chepiga
Arrays of Rydberg atoms have appeared as a remarkably rich playground to study quantum phase transitions in one dimension. One of the biggest puzzles that was brought forward in th…
Critical properties of the quantum Ashkin-Teller chain with chiral perturbations
Bernhard Lüscher, Frédéric Mila, Natalia Chepiga
We investigate the nature of the phase transitions in the quantum Ashkin-Teller chain in the presence of chiral perturbations. We locate the Lifshitz line separating a region of di…
Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions
Natalia Chepiga, Nicolas Laflorencie
The quantum critical properties of interacting fermions in the presence of disorder are still not fully understood. While it is well known that for Dirac fermions, interactions are…