6 papers
Grand-Canonical Typicality
Cedric Igelspacher, Roderich Tumulka, Cornelia Vogel
We study how the grand-canonical density matrix arises in macroscopic quantum systems. ``Canonical typicality'' is the known statement that for a typical wave function from a…
Invariant measures of randomized quantum trajectories
Tristan Benoist, Sascha Lill, Cornelia Vogel
Quantum trajectories are Markov chains modeling quantum systems subjected to repeated indirect measurements. Their stationary regime depends on what observables are measured on the…
Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model
László ErdÅs, Joscha Henheik, Cornelia Vogel
We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve in…
Long-Time Behavior of Typical Pure States from Thermal Equilibrium Ensembles
Cornelia Vogel
We consider an isolated macroscopic quantum system in a pure state evolving unitarily in a separable Hilbert space and take for granted that different macro st…
Macroscopic Thermalization for Highly Degenerate Hamiltonians After Slight Perturbation
Barbara Roos, Shoki Sugimoto, Stefan Teufel +2
We say of an isolated macroscopic quantum system in a pure state that it is in macroscopic thermal equilibrium (MATE) if lies in or close to a suitable subspace $\mathcal…
Typical Macroscopic Long-Time Behavior for Random Hamiltonians
Stefan Teufel, Roderich Tumulka, Cornelia Vogel
We consider a closed macroscopic quantum system in a pure state evolving unitarily and take for granted that different macro states correspond to mutually orthogonal subspac…