| Project/Area Number |
17H06787
|
|---|
| Research Category |
Grant-in-Aid for Research Activity Start-up
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Mathematical physics/Fundamental condensed matter physics
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2017-08-25 – 2019-03-31
|
| Project Status |
Completed (Fiscal Year 2018)
|
| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
|---|
| Keywords | AdS/CFT / Tensor Networks / Entanglement Dynamics / Complexity / Quantum Quench / Holography / Conformal Field Theory / Quantum Gravity / Tenros Networks / Gravity / String Theory / AdS/CFT Correspondence / Quantum Entanglement |
|---|
| Outline of Final Research Achievements |
In this project, with my collaborators, I have made 2 major breakthroughs. One was based on exploration of path integral complexity and continuous Tensor Networks in CFTs and their deformations that finally led to the first computation of Entanglement of Purification from CFT. My second line of research was on computational complexity in quantum field theory and understanding its geometric role in AdS/CFT. I managed to give a first definition of geometric complexity in interacting CFTs and showed that if is related to the gravity action introduced long ago by Polyakov.
I also proposed to use circuit complexity as a probe of quantum quenches and, in an exactly solvable setup, demonstrated that it indeed can capture (it is sensitive to) non-trivial information about the evolution process like Kibble-Zurek scaling. All these papers were published in prestigious and very-high impact PRL.
|
| Academic Significance and Societal Importance of the Research Achievements |
My ground-breaking results opened new unexplored paths for research that uses ideas from quantum information, quantum computation and computational complexity in the framework of continuous quantum field theories. In the future I will use them as tools quantum field theories and genuine AdS/CFT.
|
