Topics

Quantum physics in low dimension, Bose-Einstein condensation, quantum hydrodynamics, non-linear dynamics, symmetry in bosonic and fermionic mixtures, integrable systems, quantum chaos, mesoscopic transport, electron quantum optics, Anderson localisation, disordered superfluids...

Theoretical tools 

Scattering theory, exact solutions in one dimensional systems, bosonisation, random matrix theory...

The list below is also available on arXiv, ORCID, HAL or google scholar

PhD thesis

Superfluidité et localisation quantique dans les condensats de Bose-Einstein unidimensionnels

LPTMS Université Paris Sud (2009)

Supervisor: Patricio Leboeuf

HDR thesis

Fluides quantiques en basses dimensions

INPHYNI Université Côte d'Azur (2023)

Superfluidity

Dipole Oscillations of a Bose-Einstein Condensate in Presence of Defects and Disorder

M. Albert, T. Paul, N. Pavloff, and P. Leboeuf

Phys. Rev. Lett. 100, 250405 (2008) 

Breakdown of the superfluidity of a matter wave in a random environment

M. Albert, T. Paul, N. Pavloff, and P. Leboeuf

Phys. Rev. A 82, 011602(R) (2010)

Resonant Hawking radiation in Bose-Einstein condensates

Ivar Zapata, Mathias Albert, Renaud Parentani, Fernando Sols

New J. Phys 13, 063048 (2011)

Superfluid motion and drag-force cancellation in a fluid of light

Claire Michel, Omar Boughdad, Mathias Albert, Pierre-Élie Larré, Matthieu Bellec

Nature Communications 9, 2108 (2018)

Full distribution of the superfluid fraction and extreme value statistics in a one dimensional disordered Bose gas

M. Albert, C. A. Müller

Phys. Rev. A 101, 023605 (2020)

Experimental observation of turbulent coherent structures in a superfluid of light

Aurélien Eloy, Omar Boughdad, Mathias Albert, Pierre-Élie Larré, Fabrice Mortessagne, Matthieu Bellec, Claire Michel

EPL 134, 26001 (2021)

Critical velocity for superfluidity in one dimension: From matter to light quantum fluids

Juliette Huynh, Mathias Albert, Pierre-Élie Larré

Phys. Rev. A 105, 023305 (2022)

Superfluidity vs prethermalisation in a non linear Floquet system

Sen Mu, Nicolas Macé, Jiangbin Gong, Christian Miniatura, Gabriel Lemarié and Mathias Albert

EPL 140, 50001 (2022)

Stationary transport above the critical velocity in a one-dimensional superflow past an obstacle

Juliette Huynh, Frédéric Hébert, Pierre-Élie Larré and Mathias Albert

EPL 143 46005 (2023)

Critical velocity of a two-dimensional superflow past a potential barrier of arbitrary penetrability

Juliette Huynh, Frédéric Hébert, Mathias Albert, Pierre-Élie Larré

Phys. Rev. A 109, 013317 (2024)

Strongly correlated quantum gases

Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides

Jean Decamp, Pacome Armagnat, Bess Fang, Mathias Albert, Anna Minguzzi, Patrizia Vignolo

New J. Phys. 18 055011 (2016)

High-momentum tails as magnetic structure probes for strongly-correlated SU(κ) fermionic mixtures in one-dimensional traps

Jean Decamp, Johannes Jünemann, Mathias Albert, Matteo Rizzi, Anna Minguzzi, Patrizia Vignolo

Phys. Rev. A 94, 053614 (2016)

Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations

J. Decamp, J. Juenemann, M. Albert, M. Rizzi, A. Minguzzi, P. Vignolo

New J. Phys. 19 125001 (2017)

Tan's contact in a cigar-shaped dilute Bose gas

Jean Decamp, Mathias Albert, Patrizia Vignolo

Phys. Rev. A 97, 033611 (2018)

Scaling properties of the Tan's contact: embedding pairs and correlation effect in the Tonks limit

F. T. Sant'Ana, F. Hébert, V. Rousseau, M. Albert, P. Vignolo

Phys. Rev. A 100, 063608 (2019)

Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas

Pierre Devillard, Denis Chevallier, Patrizia Vignolo, Mathias Albert

Phys. Rev. A 101, 063604 (2020)

Statistical properties of the momentum occupation numbers of the Tonks-Girardeau gas in a harmonic trap

Pierre Devillard, Anastasia Benzahi, Patrizia Vignolo, Mathias Albert

Phys. Rev. A 104, 053306 (2021)

Exact solution for SU(2) -symmetry breaking bosonic mixtures at strong interactions

Gianni Aupetit-Diallo, Giovanni Pecci, Charlotte Pignol, Frédéric Hébert, Anna Minguzzi, Mathias Albert and Patrizia Vignolo,

Phys. Rev A 106, 033312 (2022)

Persistent currents in a strongly interacting multicomponent Bose gas on a ring

Giovanni Pecci, Gianni Aupetit-Diallo,  Mathias Albert, Patrizia Vignolo and Anna Minguzzi,

Comptes Rendus. Physique, Online first (2023), pp. 1-13

High-momentum oscillating tails of strongly interacting 1D gases in a box

Gianni Aupetit-Diallo, Silvia Musolino, Mathias Albert and Patrizia Vignolo, 

Phys. Rev. A 107, L061301 (2023)

Symmetry oscillations in strongly interacting one-dimensional mixtures

Silvia Musolino, Mathias Albert, Anna Minguzzi and Patrizia Vignolo, 

Phys. Rev. Lett. 133, 183402 (2024)

Necklace Ansatz for strongly repulsive spin mixtures on a ring

Gianni Aupetit-Diallo, Giovanni Pecci, Artem Volosniev, Mathias Albert, Anna Minguzzi and Patrizia Vignolo, 

SciPost Phys. Core 8, 022 (2025) 

Dynamical probing of high-order spin coherence in one-dimensional mixtures

Silvia Musolino, Gianni Aupetit-Diallo, Mathias Albert, Patrizia Vignolo and Anna Minguzzi, 

Phys. Rev. A. 111, 023318 (2025)

Symmetry oscillations sensitivity to SU(2)-symmetry breaking in quantum mixtures

Silvia Musolino, Mathias Albert, Patrizia Vignolo and Anna Minguzzi, 

arXiv:2506.22266

Exact Solution for Two δ-Interacting Bosons on a Ring in the Presence of a δ-Barrier: Asymmetric Bethe Ansatz for Spatially Odd States

Maxim Olshanii, Mathias Albert, Gianni Aupetit-Diallo, Patrizia Vignolo and Steven Jackson, 

arXiv:2508.17371

Mesoscopic transport

Accuracy of the quantum capacitor as a single-electron source

Mathias Albert, Christian Flindt, and Markus Büttiker

Phys. Rev. B 82, 041407(R) (2010)

Noise and Counting Statistics of a Single Electron Emitter: Theory

Mathias Albert, Christian Flindt, and Markus Büttiker

Invited contribution to ICNF 2011, Toronto, Canada, June, 2011

Distributions of Waiting Times of Dynamic Single-Electron Emitters

Mathias Albert, Christian Flindt, and Markus Büttiker

Phys. Rev. Lett. 107, 086805 (2011)

Current noise spectrum of a single particle emitter: theory and experiment

F. D. Parmentier, E. Bocquillon, J.-M. Berroir, D. C. Glattli, B. Plaçais, G. Fève, M. Albert, C. Flindt, M. Büttiker

Phys. Rev. B 85, 165438 (2012)

Electron Waiting Times in Mesoscopic Conductors

Mathias Albert, Géraldine Haack, Christian Flindt, Markus Büttiker

Phys. Rev. Lett. 108, 186806 (2012)

Quantum heat fluctuations of single particle sources

F. Battista, M. Moskalets, M. Albert, P. Samuelsson

Phys. Rev. Lett. 110, 126602 (2013)

Tomonaga-Luttinger physics in electronic quantum circuits

S. Jezouin, M. Albert, F. D. Parmentier, A. Anthore, U. Gennser, A. Cavanna, I. Safi, F. Pierre

Nat. Commun. 4:1802 (2013)

A quantum magnetic RC circuit

Kevin A. van Hoogdalem, Mathias Albert, Pascal Simon, Daniel Loss

Phys. Rev. Lett. 113, 037201 (2014)

Waiting time distribution for trains of quantized electron pulses

Mathias Albert, Pierre Devillard

Phys. Rev. B 90, 035431 (2014)

Distributions of electron waiting times in quantum-coherent conductors

Géraldine Haack, Mathias Albert, Christian Flindt

Phys. Rev. B 90, 205429 (2014)

Waiting times of entangled electrons in normal-superconducting junctions

M. Albert, D. Chevallier, P. Devillard

Physica E 76, 209 (2016)

Probing Majorana and Andreev Bound States with Waiting Times

D. Chevallier, M. Albert, P. Devillard

EPL 116, 27005 (2016)

Fingerprints of Majorana fermions in current-correlations measurements from a superconducting tunnel microscope

Pierre Devillard, Denis Chevallier, Mathias Albert

Phys. Rev. B 96, 115413 (2017)

Waiting time distributions in Quantum spin hall based heterostructures

Ferdinand Schulz, Denis Chevallier, Mathias Albert

Phys. Rev. B 107, 245406 (2023)

Waiting time fluctuations in quasi-one-dimensional disordered conductors

Ferdinand Schulz, and Mathias Albert

Phys. Rev. B 108, 235427 (2023)

Anderson localisation

Localization by bichromatic potentials versus Anderson localization

M. Albert and P. Leboeuf

Phys. Rev. A 81, 013614 (2010)

Anderson localization of a weakly interacting one dimensional Bose gas

T. Paul, M. Albert, P. Schlagheck, P. Leboeuf, and N. Pavloff

Phys. Rev. A 80, 033615 (2009)

Interaction induced Anderson transition in a kicked one dimensional Bose gas

H. Olsen, P. Devillard, G. Aupetit-Diallo, P. Vignolo, and M. Albert

arXiv:2503.02565 (2025)