Thomas Botzung
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View article: Tailoring interaction ranges in atom arrays
Tailoring interaction ranges in atom arrays Open
We introduce a method to synthetically engineer the range of dipolar interactions in tweezer atom arrays by effectively modifying the modes of the electromagnetic vacuum with far-detuned relay atoms. We derive equations of motion for the a…
View article: Robustness and measurement-induced percolation of the surface code
Robustness and measurement-induced percolation of the surface code Open
We examine the robustness of a logical qubit in the planar surface code subject to ‘measurement-errors’, i.e. to local Pauli measurements at known positions. This yields a measurement-only dynamics, which is driven by the competition betwe…
View article: Numerical observation of SU(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math>) Nagaoka ferromagnetism
Numerical observation of SU() Nagaoka ferromagnetism Open
14 pages, 9 figures
View article: Numerical observation of $\mathrm{SU}(N)$ Nagaoka ferromagnetism
Numerical observation of $\mathrm{SU}(N)$ Nagaoka ferromagnetism Open
We provide numerical evidence of the Nagaoka's theorem in the $\mathrm{SU}(N)$ Fermi-Hubbard model on various cluster geometries, such as the square, the honeycomb and the triangular lattices. In particular, by diagonalizing several finite…
View article: Robustness and measurement-induced percolation of the surface code
Robustness and measurement-induced percolation of the surface code Open
We examine the robustness of a logical qubit in the planar surface code subject to 'measurement-errors', i.e., to local Pauli measurements at known positions. This yields a measurement-only dynamics, which is driven by the competition betw…
View article: Exact Diagonalization of $\mathrm{SU}(N)$ Fermi-Hubbard Models
Exact Diagonalization of $\mathrm{SU}(N)$ Fermi-Hubbard Models Open
We show how to perform exact diagonalizations of $\mathrm{SU}(N)$ Fermi-Hubbard models on $L$-site clusters separately in each irreducible representation ({irrep}) of $\mathrm{SU}(N)$. Using the representation theory of the unitary group $…
View article: Comparing bipartite entropy growth in open-system matrix-product simulation methods
Comparing bipartite entropy growth in open-system matrix-product simulation methods Open
International audience
View article: Comparing bipartite entropy growth in open-system matrix-product simulation methods
Comparing bipartite entropy growth in open-system matrix-product simulation methods Open
The dynamics of one-dimensional quantum many-body systems is often numerically simulated with matrix-product states (MPSs). The computational complexity of MPS methods is known to be related to the growth of entropies of reduced density ma…
View article: Large random arrowhead matrices: Multifractality, semilocalization, and protected transport in disordered quantum spins coupled to a cavity
Large random arrowhead matrices: Multifractality, semilocalization, and protected transport in disordered quantum spins coupled to a cavity Open
International audience
View article: Effects of energy extensivity on the quantum phases of long-range interacting systems
Effects of energy extensivity on the quantum phases of long-range interacting systems Open
We investigate the ground state properties of one-dimensional hard-core\nbosons interacting via a variable long-range potential using the density matrix\nrenormalization group. We demonstrate that restoring energy extensivity in the\nsyste…
View article: Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law
Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law Open
Recent theoretical work has shown that the competition between coherent unitary dynamics and stochastic measurements, performed by the environment, along wavefunction trajectories can give rise to transitions in the entanglement scaling. I…
View article: Dark state semilocalization of quantum emitters in a cavity
Dark state semilocalization of quantum emitters in a cavity Open
International audience
View article: Study of strongly correlated one-dimensional systems with long-range interactions
Study of strongly correlated one-dimensional systems with long-range interactions Open
During this Ph.D, we studied one-dimensional systems with long-range couplings. In the first part, we demonstrate that power-law couplings lead to an algebraic decay of correlations at long distances in disordered quantum wires. In the sec…
View article: L’étude des systèmes fortement corrélés à une dimension avec interactions à longue-portée
L’étude des systèmes fortement corrélés à une dimension avec interactions à longue-portée Open
Durant cette thèse, nous étudions des systèmes unidimensionnels avec des couplages longue-portée. Dans la première partie, nous démontrons que ces couplages entraînent une décroissance algébrique des corrélations dans des fils quantiques d…
View article: Algebraic localization from power-law couplings in disordered quantum wires
Algebraic localization from power-law couplings in disordered quantum wires Open
We analyze the effects of disorder on the correlation functions of\none-dimensional quantum models of fermions and spins with long-range\ninteractions that decay with distance $\\ell$ as a power-law $1/\\ell^\\alpha$.\nUsing a combination …
View article: One-dimensional extended Hubbard model with soft-core potential
One-dimensional extended Hubbard model with soft-core potential Open
We investigate the $T=0$ phase diagram of a variant of the one-dimensional extended Hubbard model where particles interact via a finite-range soft-shoulder potential. Using Density Matrix Renormalization Group (DMRG) simulations, we eviden…