Exceptional-points-induced dynamical phenomena and memory effects in open quantum many-body systems
Abstract
Open quantum systems have recently gained significant attention. This interest, in particular, stems from the presence of the so-called exceptional points (EPs) in their spectrum, which emerge due to the interaction between quantum systems and their surrounding environment. EPs are spectral singularities, where the system dimensionality is inevitably reduced. This reduction may lead to unique and intriguing phenomena not observed in closed systems. Examples include chiral mode switching, single-mode lasing, and loss-induced transparency to name a few. However, previous studies on EPs have primarily focused on non-interacting open quantum systems coupled to memoryless environments and exploiting semiclassical approximations that neglect quantum noise effects. Consequently, there is still limited understanding of how the presence of EPs can influence dynamical and other spectral transition phenomena in interacting open quantum systems at the genuine quantum level, where both the quantum many-body correlations and quantum noise play a significant role. Furthermore, recent theoretical and experimental advancements in engineering structured environments with memory effects necessitate the extension of EP concepts to such open quantum systems as well. In this project, we aim to bridge this knowledge gap by investigating the novel and intriguing effects of EPs on the dynamics of open many-body quantum systems at a genuine quantum level, and to explore the interplay between EPs and reservoir memory effects on the spectral and dynamical phase transitions in such systems. To accomplish this objective, we will utilize various techniques, including a time-dependent quantum Liouvillian framework, which allows one to study the EPs-induced phenomena in the structured environments on a genuine quantum level. The project holds the promise to advance our fundamental understanding of quantum dynamics and provide invaluable insights into the intricate behavior of complex open quantum systems. The outcomes of this research, thus, have the potential to have long-lasting and unforeseen impacts on the field.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 05, 2025
- Source ID
- FA86552417376
Entities
People
- Ievgen I Arkhipov
Organizations
- Air Force Office of Scientific Research
- Palacký University Olomouc
- United States Air Force