Quantum heat traces
نویسندگان
چکیده
منابع مشابه
Traces of Heat Operators on Riemannian Foliations
We consider the basic heat operator on functions on a Riemannian foliation of a compact, Riemannian manifold, and we show that the trace KB(t) of this operator has a particular asymptotic expansion as t → 0. The coefficients of t and of t(log t) in this expansion are obtainable from local transverse geometric invariants functions computable by analyzing the manifold in an arbitrarily small neig...
متن کاملHeat Traces on Spheres and Combinatorial Identities
Abstract. We present a concise explicit expression for the heat trace coefficients of spheres. Our formulas yield certain combinatorial identities which are proved following ideas of D. Zeilberger. In particular, these identities allow to recover in a surprising way some known formulas for the heat trace asymptotics. Our approach is based on a method for computation of heat invariants developed...
متن کاملDeformed Traces and Covariant Quantum Algebras for Quantum Groups
The q-deformed traces and orbits for the two parametric quantum groups GLqp(2) and GLqp(1|1) are defined. They are subsequently used in the construction of q-orbit invariants for these groups. General qp-(super)oscillator commutation relations are obtained which remain invariant under the co-actions of groups GLqp(2) and GLqp(1|1). The GLqp(2)-covariant deformed algebra is deduced in terms of t...
متن کاملQuantum Hamiltonian identification from measurement time traces.
Precise identification of parameters governing quantum processes is a critical task for quantum information and communication technologies. In this Letter, we consider a setting where system evolution is determined by a parametrized Hamiltonian, and the task is to estimate these parameters from temporal records of a restricted set of system observables (time traces). Based on the notion of syst...
متن کاملConditional quantum iteration from categorical traces
In order to describe conditional iteration in quantum systems, we consider categories where hom-sets have a partial summation based on an axiomatisation of uniform convergence. Such structures, similar to Haghverdi’s Unique Decomposition Categories (UDCs), allow for a number of fundamental constructions including the standard, or ‘particle-style’, categorical trace. We demonstrate that the cate...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2017
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2016.11.020