Publications by Loïc Jean Pierre Herviou

Universal Characterization of Quantum Many-Body States through Local Information

We propose a universal framework for classifying quantum states based on their scale-resolved correlation structure. Using the recently introduced information lattice, which provides an operational definition of the total amount of correlations at each sca ...

American Physical Society (APS)2025

Model for topological p-wave superconducting wires with disorder and interactions

Loïc Jean Pierre Herviou

We present a comprehensive theoretical study of interacting and disordered topological phases of coupled Kitaev wires, which may support further realistic applications of Majorana fermions. We develop a variety of analytical, mathematical, and numerical me ...

AMER PHYSICAL SOC2025

Numerical investigation of the structure factors of the Read-Rezayi series

Frédéric Mila, Loïc Jean Pierre Herviou

We numerically investigate the guiding center structure factors of several states in the Read-Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization group on an infinite cylinder, we test a conjecture proposed in Can et ...

AMER PHYSICAL SOC2024

Ultraslow Growth of Number Entropy in an l-Bit Model of Many-Body Localization

Loïc Jean Pierre Herviou

We demonstrate that slow growth of the number entropy following a quench from a local product state is consistent with many-body localization. To do this, we construct a novel random circuit l -bit model with exponentially localized l-bits and exponentiall ...

AMER PHYSICAL SOC2024

Emergent U(1) symmetry in non-particle-conserving one-dimensional models

Frédéric Mila, Natalia Chepiga, Loïc Jean Pierre Herviou, Mohamed Zakaria Jouini

The properties of stable Luttinger liquid phases in models with a nonconserved number of particles are investigated. We study the Luttinger liquid phases in one-dimensional models of hard-core boson and spinless fermion chains where particles can be create ...

Amer Physical Soc2023

Possible restoration of particle-hole symmetry in the 5/2-quantized Hall state at small magnetic field

Frédéric Mila, Loïc Jean Pierre Herviou

Motivated by the experimental observation of a quantized 5/2 thermal conductance at filling nu = 5/2, a result incompatible with both the Pfaffian and the anti-Pfaffian states, we have pushed the expansion of the effective Hamiltonian of the 5/2-quantized ...

AMER PHYSICAL SOC2023

Even-odd effects in the J1-J2 SU(N) Heisenberg spin chain

Loïc Jean Pierre Herviou

The zero-temperature phase diagram of the J1-J2 SU(N) antiferromagnetic Heisenberg spin chain is investigated by means of complementary field theory and numerical approaches for general N. A fully gapped SU(N) valence bond solid made of N sites is formed a ...

2023

Fate of the non-Hermitian skin effect in many-body fermionic systems

Oleg Yazyev, Loïc Jean Pierre Herviou, Marta Agnieszka Brzezinska

We revisit the fate of the skin modes in many-body non-Hermitian fermionic systems. Contrary to the single-particle case, the many-body ground state cannot exhibit an exponential localization of all eigenstates due to the Pauli exclusion principle. However ...

AMER PHYSICAL SOC2022

Time-evolution of local information: Thermalization dynamics of local observables

Loïc Jean Pierre Herviou

Quantum many-body dynamics generically result in increasing entanglement that eventually leads to thermalization of local observables. This makes the exact description of the dynamics complex despite the apparent simplicity of (high-temperature) thermal st ...

SCIPOST FOUNDATION2022

Many-body localization in a fragmented Hilbert space

Loïc Jean Pierre Herviou

We study many-body localization (MBL) in a pair-hopping model exhibiting strong fragmentation of the Hilbert space. We show that several Krylov subspaces have both ergodic statistics in the thermodynamic limit and a dimension that scales much slower than t ...

2021