Adam Rançon
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View article: Constraint effective action and critical correlation functions at fixed magnetization
Constraint effective action and critical correlation functions at fixed magnetization Open
We present an extension of the functional renormalization group (FRG) framework developed to compute critical probability distributions of the order parameter to momentum-dependent observables. Focusing on the constraint effective action a…
View article: Observation of universal non-Gaussian statistics of the order parameter across a continuous phase transition
Observation of universal non-Gaussian statistics of the order parameter across a continuous phase transition Open
Second-order phase transitions are characterised by critical scaling and universality. The singular behaviour of thermodynamic quantities at the transition, in particular, is determined by critical exponents of the universality class of th…
View article: Exact generating function of a zero-dimensional supersymmetric non-linear sigma model
Exact generating function of a zero-dimensional supersymmetric non-linear sigma model Open
We compute exactly the generating function of a supersymmetric non-linear sigma model describing random matrices belonging to the unitary class. Although an arbitrary source explicitly breaks the supersymmetry, a careful analysis of the in…
View article: Dreaming up scale invariance via inverse renormalization group
Dreaming up scale invariance via inverse renormalization group Open
We explore how minimal neural networks can invert the renormalization group (RG) coarse-graining procedure in the two-dimensional Ising model, effectively "dreaming up" microscopic configurations from coarse-grained states. This task-forma…
View article: Universal and non-universal large deviations in critical systems
Universal and non-universal large deviations in critical systems Open
Rare events play a crucial role in understanding complex systems. Characterizing and analyzing them in scale-invariant situations is challenging due to strong correlations. In this work, we focus on characterizing the tails of probability …
View article: Observation of quantum criticality of a four-dimensional phase transition
Observation of quantum criticality of a four-dimensional phase transition Open
Understanding how a system’s behavior extrapolates beyond 3D is a fundamental question in physics, spanning topics from unification theories to critical phenomena. In statistical physics, fluctuations’ strength is highly sensitive to dimen…
View article: Two-body contact of a Bose gas near the superfluid--Mott-insulator transition
Two-body contact of a Bose gas near the superfluid--Mott-insulator transition Open
The two-body contact is a fundamental quantity of a dilute Bose gas that relates the thermodynamics to the short-distance two-body correlations. For a Bose gas in an optical lattice, near the superfluid--Mott-insulator transition, we show …
View article: Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact
Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact Open
We present a strong-coupling expansion of the Bose-Hubbard model based on a mean-field treatment of the hopping term, while onsite fluctuations are taken into account exactly. This random phase approximation (RPA) describes the universal f…
View article: Probability distributions of the order parameter of the $O(N)$ model
Probability distributions of the order parameter of the $O(N)$ model Open
We study the probability distribution function (PDF) of the order parameter of the three-dimensional $O(N)$ model at criticality using the functional renormalisation group. For this purpose, we generalize the method introduced in [Balog et…
View article: From Inverse-Cascade to Subdiffusive Dynamic Scaling in Driven Disordered Bose Fluids
From Inverse-Cascade to Subdiffusive Dynamic Scaling in Driven Disordered Bose Fluids Open
We explore the emergence of universal dynamic scaling in an interacting Bose gas around the condensation transition, under the combined influence of an external driving force and spatial disorder. As time progresses, we find that the Bose …
View article: Universal and non-universal large deviations in critical systems
Universal and non-universal large deviations in critical systems Open
Rare events play a crucial role in understanding complex systems. Characterizing and analyzing them in scale-invariant situations is challenging due to strong correlations. In this work, we focus on characterizing the tails of probability …
View article: Generalization of the Central Limit Theorem to Critical Systems: Revisiting Perturbation Theory
Generalization of the Central Limit Theorem to Critical Systems: Revisiting Perturbation Theory Open
The Central Limit Theorem does not hold for strongly correlated stochastic variables, as is the case for statistical systems close to criticality. Recently, the calculation of the probability distribution function (PDF) of the magnetizatio…
View article: Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation Open
We consider the Gross-Pitaevskii equation with a confining ring potential with a Gaussian profile. By introducing a rotating sinusoidal perturbation, we numerically highlight the nucleation of quantum vortices in a particular regime throug…
View article: Exploring quantum criticality in a 4D quantum disordered system
Exploring quantum criticality in a 4D quantum disordered system Open
Phase transitions are prevalent throughout physics, spanning thermal phenomena like water boiling to magnetic transitions in solids. They encompass cosmological phase transitions in the early universe and the transition into a quark-gluon …
View article: Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential Open
The quantum kicked rotor is well-known for displaying dynamical (Anderson) localization. It has recently been shown that a periodically kicked Tonks gas will always localize and converge to a finite energy steady-state. This steady-state h…
View article: Tan's two-body contact in a planar Bose gas: experiment vs theory
Tan's two-body contact in a planar Bose gas: experiment vs theory Open
We determine the two-body contact in a planar Bose gas confined by a\ntransverse harmonic potential, using the nonperturbative functional\nrenormalization group. We use the three-dimensional thermodynamic definition of\nthe contact where t…
View article: Tan's two-body contact in a planar Bose gas: experiment vs theory
Tan's two-body contact in a planar Bose gas: experiment vs theory Open
We determine the two-body contact in a planar Bose gas confined by a transverse harmonic potential, using the nonperturbative functional renormalization group. We use the three-dimensional thermodynamic definition of the contact where the …
View article: Correction: Localization properties of the asymptotic density distribution of a one-dimensional disordered system
Correction: Localization properties of the asymptotic density distribution of a one-dimensional disordered system Open
International audience
View article: From point processes to quantum optics and back
From point processes to quantum optics and back Open
Some fifty years ago, in her seminal PhD thesis, Odile Macchi introduced permanental and determinantal point processes. Her initial motivation was to provide models for the set of detection times in fundamental bosonic or fermionic optical…
View article: From point processes to quantum optics and back
From point processes to quantum optics and back Open
Some fifty years ago, in her seminal PhD thesis, Odile Macchi introduced\npermanental and determinantal point processes. Her initial motivation was to\nprovide models for the set of detection times in fundamental bosonic or\nfermionic opti…
View article: Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential Open
The quantum kicked rotor is well-known for displaying dynamical (Anderson) localization. It has recently been shown that a periodically kicked Tonks gas will always localize and converge to a finite energy steady-state. This steady-state h…
View article: Critical probability distributions of the order parameter from the functional renormalization group
Critical probability distributions of the order parameter from the functional renormalization group Open
We show that the functional renormalization group (FRG) allows for the calculation of the probability distribution function of the sum of strongly correlated random variables. On the example of the three-dimensional Ising model at critical…
View article: Localization properties of the asymptotic density distribution of a one-dimensional disordered system
Localization properties of the asymptotic density distribution of a one-dimensional disordered system Open
View article: Comment on “Universal and Non-Universal Correction Terms of Bose Gases in Dilute Region: A Quantum Monte Carlo Study”
Comment on “Universal and Non-Universal Correction Terms of Bose Gases in Dilute Region: A Quantum Monte Carlo Study” Open
We comment on J. Phys. Soc. Jpn. 91, 024001 (2022) by Masaki-Kato et al. and\nshow that their results are in very good agreement with the semi-classical\nspin-wave approximation of Bose-Hubbard model in the hardcore limit. This\nallows for…
View article: Thermal Critical Dynamics from Equilibrium Quantum Fluctuations
Thermal Critical Dynamics from Equilibrium Quantum Fluctuations Open
We show that quantum fluctuations display a singularity at thermal critical points, involving the dynamical z exponent. Quantum fluctuations, captured by the quantum variance [Frérot et al., Phys. Rev. B 94, 075121 (2016)PRBMDO2469-995010.…
View article: Nonlinear sigma models on constant curvature target manifolds: A functional renormalization group approach
Nonlinear sigma models on constant curvature target manifolds: A functional renormalization group approach Open
We study non-linear sigma models on target manifolds with constant (positive or negative) curvature using the functional renormalization group and the background field method. We pay particular attention to the splitting Ward identities as…
View article: Thermal critical dynamics from equilibrium quantum fluctuations
Thermal critical dynamics from equilibrium quantum fluctuations Open
We show that quantum fluctuations display a singularity at thermal critical points, involving the dynamical $z$ exponent. Quantum fluctuations, captured by the quantum variance (I. Frérot and T. Roscilde, Phys. Rev. B 94, 075121 (2016)), c…
View article: Effective thermalization of a many-body dynamically localized Bose gas
Effective thermalization of a many-body dynamically localized Bose gas Open
Dynamical localization is the analog of Anderson localization in momentum space, where the system's energy saturates and the single-particle wave-functions are exponentially localized in momentum space. In the presence of interactions, in …
View article: Dynamical localization of interacting bosons in the few-body limit
Dynamical localization of interacting bosons in the few-body limit Open
The quantum kicked rotor is well-known to display dynamical localization in\nthe non-interacting limit. In the interacting case, while the mean-field\n(Gross-Pitaevskii) approximation displays a destruction of dynamical\nlocalization, its …
View article: Exact generating function of a zero-dimensional supersymmetric non-linear sigma model
Exact generating function of a zero-dimensional supersymmetric non-linear sigma model Open
We compute exactly the generating function of a supersymmetric non-linear sigma model describ-ing random matrices belonging to the unitary class. Although an arbitrary source explicitly breaksthe supersymmetry, a careful analysis of the in…