Statistical Mechanics
Branes and Categorifying Integrable Lattice Models (1806.02821v5)
Meer Ashwinkumar, Meng-Chwan Tan, Qin Zhao
2018-06-07
We elucidate how integrable lattice models described by Costello's 4d Chern-Simons theory can be realized via a stack of D4-branes ending on an NS5-brane in type IIA string theory, with D0-branes on the D4-brane worldvolume sourcing a meromorphic RR 1-form, and fundamental strings forming the lattice. This provides us with a nonperturbative integration cycle for the 4d Chern-Simons theory, and by applying T- and S-duality, we show how the R-matrix, the Yang-Baxter equation and the Yangian can be categorified, that is, obtained via the Hilbert space of a 6d gauge theory.
Critical slowing down and entanglement protection (1901.07985v2)
Eliana Fiorelli, Alessandro Cuccoli, Paola Verrucchi
2019-01-23
We consider a quantum device
interacting with a quantum many-body environment
which features a second-order phase transition at
. Exploiting the description of the critical slowing down undergone by
Momentum-space entanglement after smooth quenches (1712.01400v2)
Daniel W. F. Alves, Giancarlo Camilo
2017-12-04
We compute the total amount of entanglement produced between momentum modes at late times after a smooth mass quench in free bosonic and fermionic quantum field theories. The entanglement and R'enyi entropies are obtained in closed form as a function of the parameters characterizing the quench protocol. For bosons, we show that the entanglement production is more significant for light modes and for fast quenches. In particular, infinitely slow or adiabatic quenches do not produce any entanglement. Depending on the quench profile, the decrease as a function of the quench rate
can be either monotonic or oscillating. In the fermionic case the situation is subtle and there is a critical value for the quench amplitude above which this behavior is changed and the entropies become peaked at intermediate values of momentum and of the quench rate. We also show that the results agree with the predictions of a Generalized Gibbs Ensemble and obtain explicitly its parameters in terms of the quench data.
Phonon number fluctuations in Debye model of solid (1901.11360v1)
Q. Chen, Y. Liu, Q. H. Liu
2019-01-31
Statistical mechanics for the Debye model of solid gives well-defined phonon number fluctuations and isothermal compressibility, respectively, but these two types of quantities violate the fluctuation-compressibility theorem which states that fluctuations in particle number are proportional to the isothermal compressibility. At low temperatures, the phonons behave very much like photons, but the way of violating the theorem is different. For the phonons the compressibility exists whereas for the photons it does not exist.
Synchronization in Network Geometries with Finite Spectral Dimension (1811.03069v2)
Ana P. Millán, Joaquín J. Torres, Ginestra Bianconi
2018-11-07
Recently there is a surge of interest in network geometry and topology. Here we show that the spectral dimension plays a fundamental role in establishing a clear relation between the topological and geometrical properties of a network and its dynamics. Specifically we explore the role of the spectral dimension in determining the synchronization properties of the Kuramoto model. We show that the synchronized phase can only be thermodynamically stable for spectral dimensions above four and that phase entrainment of the oscillators can only be found for spectral dimensions greater than two. We numerically test our analytical predictions on the recently introduced model of network geometry called Complex Network Manifolds which displays a tunable spectral dimension.
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