Continuous Limits of Classical Repeated Interaction Systems

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Repeated Interaction Quantum Systems

We consider a quantum system interacting sequentially with elements of a chain of independent quantum subsystems. We treat two kinds of such repeated interaction systems: deterministic and random ones. In both cases we show that, under suitable conditions, the system approaches an asymptotic state in the large time limit, and we construct that state. Our methods are based on the analysis of pro...

متن کامل

Weak Coupling and Continuous Limits for Repeated Quantum Interactions

We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature β. The time evolution is discrete and such that over each time step of duration τ , the reference system is coupled to one new element of the chain only, by means of an interaction of strength λ. We consider three asymptotic regimes of t...

متن کامل

Random Repeated Interaction Quantum Systems

We consider a quantum system S interacting sequentially with independent systems Em, m = 1, 2, . . . Before interacting, each Em is in a possibly random state, and each interaction is characterized by an interaction time and an interaction operator, both possibly random. We prove that any initial state converges to an asymptotic state almost surely in the ergodic mean, provided the couplings sa...

متن کامل

Asymptotics of repeated interaction quantum systems

A quantum system S interacts in a successive way with elements E of a chain of identical independent quantum subsystems. Each interaction lasts for a duration τ and is governed by a fixed coupling between S and E . We show that the system, initially in any state close to a reference state, approaches a repeated interaction asymptotic state in the limit of large times. This state is τ–periodic i...

متن کامل

Repeated Interaction Quantum Systems: Deterministic and Random

This paper gives an overview of recent results concerning the long time dynamics of repeated interaction quantum systems in a deterministic and random framework. We describe the non equilibrium steady states (NESS) such systems display and we present, as a macroscopic consequence, a second law of thermodynamics these NESS give rise to. We also explain in some details the analysis of products of...

متن کامل

ذخیره 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: Annales Henri Poincaré

سال: 2012

ISSN: 1424-0637,1424-0661

DOI: 10.1007/s00023-012-0179-7