Fluctuations, Entanglements, and Chaos: Exact Results: August 28, 2023- September 1, 2023

Participant ListScheduleView Videos

Organized by: D. Bernard, B. Bertini, F. H. L. Essler, V. Khemani and T. Prosen

Experimental advances in ultra-cold atomic physics and building quantum simulators have opened up new research areas in quantum many-body physics focused on inherently dynamical properties. Examples of fundamental questions that have been investigated in the last few years included characterizing quantum many-body chaos, describing the spreading of quantum information, defining and classifying novel “dynamical phases” in periodically driven and/or open systems and understanding the effects of quantum noise. Investigating these questions is intrinsically difficult as they pertain to non-equilibrium properties of interacting many-particle quantum systems. Remarkable progress had been achieved by considering simplified models for quantum dynamics, so-called quantum circuits (QC). These retain the key property of spatial locality, but consider discrete time evolution based on sequences of simple quantum gates. These setups can be equivalently thought of as continuous in time but subject to a periodic driving.

QC allow the analysis of both unitary and non-unitary discrete time evolution, which describes noisy or monitored systems. The latter is of particular interest in relation to the technologically-driven recent emergence of noisy, intermediate-scale quantum devices
(NISQ). These exhibit environmental noise and decoherence and also allow partial quantum measurements during the dynamics (a key capability for error correction in future “fault-tolerant” quantum computers). QC are particular classes of tensor networks, which have revolutionized our understanding of the role of quantum entanglement in many-particle quantum systems and are the numerical method of choice for investigating quantum dynamics in low dimensions. One objective of studying quantum circuits has been to understand how to modify existing tensor network methods in order to overcome the so-called entanglement barrier in non-equilibrium dynamics.

A separate but closely related line of research has focused on formulating and solving paradigmatic models for stochastic continuous-time dynamics in extended systems. Here a key objective is to develop a quantum analogue of the celebrated macroscopic fluctuation
theory, which provides an effective description of transport and fluctuations in classical stochastic systems. A key stepping stone in this classical context was the formulation of exactly solvable models such as simple exclusion processes. Very recently quantum
versions of these processes have been formulated and it was shown that the noise-averaged dynamics is described by Lindblad equations that can be mapped to unusual kinds of quantum integrable models. Interestingly, in particular limits and settings these models reduce to the extensively studied classical exclusion processes.

Our aim is to bring together scientists who have been at the forefronts of recent developments in quantum circuits, stochastic quantum dynamics, tensor networks and solvable classical stochastic processes and provide a platform for cross-fertilization between these
currently only loosely connected communities. The Program will focus on two closely connected thematic centers of gravity : (i) exact results on open, stochastic, out-of-equilibrium systems and (ii) exact results on quantum circuits, chaotic or integrable.

This workshop is part of the program: Fluctuations, Entanglements, and Chaos: Exact Results: August 28, 2023-October 8, 2023

 

Talk Schedule


Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am Entanglement Transitions in Unitary Circuit Games Frank Pollmann SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Exact results on monitored all-to-all Haar-random circuits Vir Bulchandani SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm Probing the local rapidity distribution of 1D Bose gases Jerome Dubail SCGP 102
2:15pm Break N/A SCGP 102
2:30pm From wave-function collapse and Galois solvability to the realization of non-Abelions on a quantum device. Ashvin Vishwanath SCGP 102
3:30pm Tea N/A SCGP Cafe
4:00pm Solvable quantum circuits: Insights into interacting integrable dynamics Katja Klobas SCGP 102

Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am Equilibration of fluctuations in chaotic quantum systems Ewan McCulloch SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Topological Defects in Floquet Circuits Aditi Mitra SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm Exactly Solvable Models of Quantum Many-Body Chaos Tomaz Prosen SCGP 102
2:15pm Break N/A SCGP 102
2:30pm Limit shape phase transitions Alexander Abanov SCGP 102
3:30pm Tea N/A SCGP Cafe
4:00pm “Coding” Phases of Open Quantum Dynamics Sagar Vijay SCGP 102

Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am Emergent hydrodynamics in constrained quantum matter Michael Knap SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am A physical theory of the two-stage thermalization Tianci Zhou SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:30pm Status of many-body localization and related issues Wojciech de Roeck SCGP 102
3:30pm Tea N/A SCGP Cafe
4:00pm Defining stable phases of Markovian open systems Sarang Gopalakrishnan SCGP 102
6:00pm Dinner Banquet N/A SCGP Cafe

Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am Multipartite Entanglement Spectroscopy using Single Particle Green’s Functions Robert Konik SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Universality Classes of Entanglement Transitions in Random Tensor Networks and Monitored Quantum Circuits Andreas Ludwig SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:30pm Completely ergodic quantum dynamics in quasiperiodically-driven systems Wen Wei Ho SCGP 102
3:30pm Tea N/A SCGP Cafe
4:00pm Dynamical universality of charged single-file systems and integrable spin chains Žiga Krajnik SCGP 102

Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am The Quantum Mpemba Effect Pasquale Calabrese SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Integrable Supersymmetric Quantum Circuits Karelian Schoutens SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm Crystalline Quantum Circuits Michael Gullans SCGP 102
2:30pm Classical Non-Relativistic Fractons Shivaji Sondhi SCGP 102
3:30pm Tea N/A SCGP Cafe