Quantum statistics transmutation via magnetic flux attachment
DOI10.2140/pmp.2023.4.803arXiv2201.03518OpenAlexW4226204178MaRDI QIDQ6064868
Douglas Lundholm, Gaultier Lambert, Nicolas Rougerie
Publication date: 11 December 2023
Published in: Probability and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.03518
anyonsmathematical physicsquantum statisticsGinibre ensemblemany-body quantum mechanicsquantum hall effect
Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Electro- and magnetostatics (78A30) Open systems, reduced dynamics, master equations, decoherence (81S22) Fermionic systems in quantum theory (81V74) Bosonic systems in quantum theory (81V73) Anyons (81V27)
Cites Work
- Unnamed Item
- Unnamed Item
- Around the circular law
- Fluctuations of eigenvalues of random normal matrices
- Strongly correlated phases in rapidly rotating Bose gases
- Some integral identities and inequalities for entire functions and their application to the coherent state transform
- Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions
- Characteristic polynomials of complex random matrix models
- Elliptic partial differential equations of second order
- Local microscopic behavior for 2D Coulomb gases
- Large deviation principle for empirical fields of log and Riesz gases
- Local incompressibility estimates for the Laughlin phase
- The Laughlin liquid in an external potential
- Fluctuations of two dimensional Coulomb gases
- Rigidity of the Laughlin liquid
- Quantum Hall phases and plasma analogy in rotating trapped Bose gases
- Incompressibility estimates for the Laughlin phase
- On the Laughlin function and its perturbations
- Lieb-Thirring inequalities for wave functions vanishing on the diagonal set
- The classical Jellium and the Laughlin phase
- Stability of the Laughlin phase against long-range interactions
- Maximum of the characteristic polynomial of the Ginibre ensemble
- Emergence of Haldane pseudo-potentials in systems with short-range interactions
- Local laws and rigidity for Coulomb gases at any temperature
- Incompressibility estimates for the Laughlin phase. II
- Local density for two-dimensional one-component plasma
- Spectral gaps and incompressibility in a \(\nu = 1/3\) fractional quantum Hall system
- The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem
- A bulk spectral gap in the presence of edge states for a truncated pseudopotential
- BERRY'S PHASE, FRACTIONAL STATISTICS AND THE LAUGHLIN WAVE FUNCTION
- Nobel Lecture: Fractional quantization
- Holomorphic quantum Hall states in higher Landau levels
- Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions
- Gap statistics close to the quantile of a random walk
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
- Low-complexity eigenstates of a ν = 1/3 fractional quantum Hall system
- Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature
