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most citedCanonical Typicality

714 citations · 4.3k across the 128 of their papers we have counts for

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math-ph2024

Fixed Points of Completely Positive Trace-Preserving Maps in Infinite Dimension

Roderich Tumulka, Jonte Weixler

Completely positive trace-preserving maps , also known as quantum channels, arise in quantum physics as a description of how the density operator of a system changes in a gi…

math-ph2024★ 2 cited

How a Space-Time Singularity Helps Remove the Ultraviolet Divergence Problem

Joscha Henheik, Bipul Poudyal, Roderich Tumulka

Particle creation terms in quantum Hamiltonians are usually ultraviolet divergent and thus mathematically ill defined. A rather novel way of solving this problem is based on imposi…

math-ph2024

On the Problem of Defining Charge Operators for the Dirac Quantum Field

Pablo Costa Rico, Roderich Tumulka

It is well known how to define the operator for the total charge (i.e., positron number minus electron number) on the standard Hilbert space of the second-quantized Dirac equat…

math-ph2023★ 7 cited

Canonical Typicality For Other Ensembles Than Micro-Canonical

Stefan Teufel, Roderich Tumulka, Cornelia Vogel

We generalize Lévy's lemma, a concentration-of-measure result for the uniform probability distribution on high-dimensional spheres, to a much more general class of measures, so-cal…

math-ph2023★ 4 cited

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 subspace…

math-ph2021★ 8 cited

Another Proof of Born's Rule on Arbitrary Cauchy Surfaces

Sascha Lill, Roderich Tumulka

In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski space-time assuming Born's rule and a corresponding collapse rule on horizontal surfaces r…