Templeton.org is in English. Only a few pages are translated into other languages.

OK

Usted está viendo Templeton.org en español. Tenga en cuenta que solamente hemos traducido algunas páginas a su idioma. El resto permanecen en inglés.

OK

Você está vendo Templeton.org em Português. Apenas algumas páginas do site são traduzidas para o seu idioma. As páginas restantes são apenas em Inglês.

OK

أنت تشاهد Templeton.org باللغة العربية. تتم ترجمة بعض صفحات الموقع فقط إلى لغتك. الصفحات المتبقية هي باللغة الإنجليزية فقط.

OK

Under certain circumstances, collective fluctuations in strongly correlated quantum many-body systems may behave as if they are propagating in a spacetime which has one more dimension than the original spacetime. In this case, it is possible to understand the original system using a dual `holographic' description defined in an emergent spacetime with one higher dimension. Although there are non-trivial evidences that support the duality in specific examples constructed from the superstring theory, so far there has been no systematic way to identify dual descriptions for general quantum many-body systems. In this project, we will search for a prescription to construct dual descriptions for general systems, based on the idea to view the duality as 'quantum renormalization group' where the couplings of a theory become dynamical variables instead of being mere constants. Furthermore, we will try to uncover the hidden `quantum order' of those systems that exhibit the property of an emergent space, namely those systems that admit a classical description in an emergent spacetime, by examining the structure of long range entanglements. This project will help understand the precise content of the duality and generalize the duality to a wider range of quantum many-body systems, including condensed matter systems.