ELFT HÍRADÓ

[Kormos Márton <kormos.marton AT ttk.bme.hu>]

MEGHÍVÓ

BME Elméleti Fizika Szeminárium,

ápr. 17. péntek 10h15,

1111 Budapest, Budafoki út 8., BME F III. magasföldszint 01.,
Elméleti Fizika Tanszék szemináriumi szoba

Penc Patrik (University of Oxford, Department of Physics)
Late-time dynamics of observables and exact hydrodynamic projections in 
certain Lindblad equations 

Certain Lindblad equations, which can be unravelled ex. to free fermion 
models with either noisy Hamiltonians or random projective measurements in 
space and time, exhibit the so-called decoupled BBGKY hierarchy. Even though 
these Lindblad equations are interacting, we can solve the operator time 
evolution for quadratic fermionic operators in the late-time limit. By 
vectorising the operators, we can map the Lindblad operator to a Hubbard 
model Hamiltonian with imaginary interaction. The time evolution of quadratic 
operators then corresponds to the time evolution of two-particle states in 
this vectorised space, which we can solve.  

A model with a U(1) symmetry and corresponding conserved quantities (ex. 
particle number conservation) exhibits power-law decays for operators which 
respect the symmetry.  

In my talk, I will present these Lindblad equations, then show you how to 
derive the time-evolution of quadratic operators by using this mapping. In 
models with particle number conservation, we identify a hydrodynamic mode and 
calculate the exact late-time power laws of the operators, while for models 
without this symmetry, every operator decays exponentially.

[1] Patrik Penc, Fabian Essler, SciPost Phys, 20, 058 (2026)


Minden érdeklődőt szeretettel várunk.

A további program megtekinthető itt: https://dtp.physics.bme.hu/TheorySeminars

Kormos Márton,
szemináriumi koordinátor