Abstract: Discussed is the Euler-type hydrodynamics for one-dimensional integrable quantum systems, as the Lieb-Liniger delta Bose gas and the XXZ chain. Of particular interest are domain wall initial states. We will use classical hard rods as an illustration of the underlying structure.

# Events Archive

## Mathematical Physics Seminar

### Math Physics Seminar, Herbert Spohn, TU-Munich, "Hydrodynamics of integrable classical and quantum systems" Jadwin 343

Tue, Nov 7, 2017, 4:30 pm

Speaker(s):

Herbert Spohn

TU-Munich

### Math Physics Seminar, Eric Carlen, Rutgers, "Quantum Markov Semigroups with detailed balance as gradient flow for relative entropy and entropy production inequalities" Jadwin 343

Tue, Oct 24, 2017, 4:30 pm

Abstract:

Speaker(s):

Eric Carlen

Rutgers University

### Math Physics Seminar, John Imbrie, U. of Virginia, "Rare Region Effects and Many-Body Localization" Jadwin 343

Tue, Oct 17, 2017, 4:30 pm

Abstract: Certain strongly disordered many-body quantum systems are incapable of reaching thermal equilibrium. The nature of this so-called many-body localized (MBL) phase has recently been an active area of research.

Speaker(s):

John Imbrie

University of Virginia

### Math Physics Seminar, Yinon Spinka, Tel Aviv U., "Macroscopic loops in the loop O(n) model" Jadwin 343

Tue, Oct 10, 2017, 4:30 pm

Abstract:

Speaker(s):

Yinon Spinka

Tel Aviv University

### Math Physics Seminar, Yuval Peres, Microsoft Research, "Gravitational allocation to uniform points on the sphere " Jadwin 343

Tue, Oct 3, 2017, 4:30 pm to 5:30 pm

Abstract:

Speaker(s):

### Math Physics Seminar, Vincent Vargas, ENS, "Ward and Belavin-Polyakov-Zamolodchikov (BPZ) identities for Liouville quantum field theory on the Riemann

Tue, Nov 15, 2016, 4:30 pm to 5:30 pm

The foundations of modern conformal field theory (CFT) were introduced in a 1984 seminal paper by Belavin, Polyakov and Zamolodchikov (BPZ). Though the CFT formalism is widespread in the physics literature, it remains a challenge for mathematicians to make sense out of it.

### Math Physics Seminar, Eviatar Procaccia, Texas A & M, "Can one hear the shape of a random walk?"

Tue, Oct 25, 2016, 4:30 pm to 5:30 pm

We consider a Gibbs distribution over random walk paths on the square lattice, proportional to a random weight of the path’s boundary . We show that in the zero temperature limit, the paths condensate around an asymptotic shape.

### Math Physics Seminar, Vieri Mastropietro, U. of Milano, "Localization of interacting fermions with quasi-random disorder"

Tue, Oct 18, 2016, 4:30 pm to 5:30 pm

We consider interacting electrons in a one dimensional lattice with an incommensurate Aubry-Andre' potential in the regime when the single-particle eigenstates are localized.

### Special Math Physics Seminar, Anna Vershynina, Basque Center, Spain, "Quantum analogues of geometric inequalities for Information theory"

Mon, Oct 17, 2016, 2:30 pm to 3:30 pm

Geometric inequalities, such as entropy power inequality or the isoperimetric inequality, relate geometric quantities, such as volumes and surface areas. Classically, these inequalities have useful applications for obtaining bounds on channel capacities, and deriving log-Sobolev inequalities.

### Special Math Physics Seminar, Alessandro Giuliani, U. of Rome 3, "Universality of transport coefficients in the Haldane-Hubbard model"

Wed, Oct 12, 2016, 4:30 pm to 5:30 pm

In this talk I will review some selected aspects of the theory of interacting electrons on the honeycomb lattice, with special emphasis on the Haldane-Hubbard model: this is a model for interacting electrons on the hexagonal lattice, in the presence of nearest and next-to-nearest neighbor hopping, as well as of a transverse dipolar magnetic field.

### Special Math Physics Seminar, Marcello Porta, Zurich U., "Mean field evolution of fermonic systems"

Wed, Oct 5, 2016, 2:00 pm to 3:00 pm

In this talk I will discuss the dynamics of interacting fermionic systems in the mean field regime. Compared to the bosonic case, fermionic mean field scaling is naturally coupled with a semiclassical scaling, making the analysis more involved. As the number of particles grows, the quantum evolution of the system is expected to be effectively...

### Math Physics Seminar, Eliran Subag, Weizmann, "Critical points and the Gibbs measure of a spherical spin glass model"

Tue, Sep 27, 2016, 4:30 pm to 5:30 pm

For integers N let H_N(x) be an isotropic Gaussian field on the N-dimensional unit sphere, meaning that Cov(H_N(x),H_N(y)) is a function, f_N, of the inner product of . The spherical spin glass models of statistical mechanics are such random fields, with f_N = N f with the function independent of the dimension N.

### Math Physics Seminar, Roderich Tumulka, Rutgers U., "Probability Distribution of the Time at Which an Ideal Detector Clicks"

Tue, Apr 26, 2016, 4:30 pm to 5:30 pm

We consider a non-relativistic quantum particle surrounded by a detecting surface and ask how to compute, from the particle's initial wave function, the probability distribution of the time and place at which the particle gets detected.

### Math Physics Seminar, Phil Sosoe, Harvard, "Sharp quasi-invariance for the 4th order nonlinear Schroedinger equation"

Tue, Apr 19, 2016, 4:30 pm to 5:30 pm

Starting with the work of Lebowitz-Rose-Speer in 1988, there has been great interest and significant progress in establishing invariance of certain Gibbs-type measures with respect to dispersive equations in 1 and 2 dimensions.

### Math Physics Seminar, Juerg Froehlich, ETH, Zurich, "Physical implications of the chiral anomaly -"

Tue, Apr 5, 2016, 4:30 pm to 5:30 pm

Starting with an analysis of chiral edge currents in 2D electron gases exhibiting the quantum Hall effect I will discuss the role of anomalous chiral edge currents and of anomaly inflow in 2D insulators with explicitly broken parity and time-reversal and in time-reversal-invariant 2D topological insulators exhibiting edge spin-currents.

### Math Physics Seminar, David Brydges, U of British Columbia, "The lace expansion for $\phi^{4}$"

Tue, Mar 29, 2016, 4:30 pm to 5:30 pm

The lace expansion provides a formula for the two point function which
has been useful for critical percolation, self-avoiding walk and
related problems in high dimensions. Recently Akira Sakai has shown that
the Ising model and the one component $\phi^4$ model admit similar
formulas. I will review the basic features of the lace expansion and

### Math Physics Seminar, Robin Reuvers, U of Copenhagen, "The Bogoliubov free energy functional"

Tue, Mar 22, 2016, 4:30 pm to 5:30 pm

Einstein's classic treatment of Bose-Einstein condensation for non-interacting bosons predicts at what temperature the phase transition to BEC occurs, but how this critical temperature changes when the bosons start to interact weakly is an old problem, first posed by Feynman in 1953.

### Math Physics Seminar, Michael Brenner, Harvard, "A Potential mechanism for a singular solution of the Euler Equation"

Tue, Mar 1, 2016, 4:30 pm to 5:30 pm

I will describe a potential mechanism for a singular solution of the Euler equation. The mechanism involves the interaction of vortex filaments, but occurs sufficiently quickly and at a small enough scales that could have plausibly evaded experimental and computational detection. Joint work with Sahand Hormoz and Alain Pumir.

### Math Physics Seminar, Lukas W. Schimmer, Princeton, "Asymptotics of the eigenvalues of operators for mirror curves"

Tue, Feb 23, 2016, 4:30 pm to 5:30 pm

Using the coherent state transform I willI establish the asymptotical behaviour of the Riesz mean for functional-difference operators associated to mirror curves of special del Pezzo Calabi–Yau threefolds.
Furthermore, I will prove the Weyl law for the eigenvalue counting function of these operators, therefore implying that their inverses are...

### Math Physics Seminar, Simone Warzel, TU, Munich, "Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas"

Tue, Feb 16, 2016, 4:30 pm to 5:30 pm

Understanding the various aspects, and even the qualitative structure of phase diagrams of interacting many-body systems in the presence of static disorder still poses a big challenge.