Journal
SCIPOST PHYSICS
Volume 12, Issue 3, Pages -Publisher
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.12.3.106
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Funding
- ERC [758329 (AGEnTh), 771536]
- MIUR Programme FARE (MEPH)
- European Union [817482]
- European Union program [731473]
- US Air Force Office of Scientific Research (AFOSR) via IOE [FA9550-19-1-7044 LASCEM]
- Simons Foundation [651440]
- Institut fur Quanteninforma-tion
- Austrian Science Fundation [P. 32597N]
- French NationalResearch Agency (ANR)
- (JCJC project QRand)
- Austrian Science Fund (FWF) [P32273-N27, SFB BeyondC: F 7107-N38]
- Austrian Science Fund (FWF) [P32273] Funding Source: Austrian Science Fund (FWF)
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A study shows that symmetry-resolved information spreading is inhibited by the competition of coherent and incoherent dynamics in the presence of continuous symmetries and under ubiquitous experimental conditions. The entropy decreases as a function of time in certain quantum number sectors, indicating dynamical purification. Dynamical purification bridges between two distinct short and intermediate time regimes, characterized by log-volume and log-area entropy laws.
When a quantum system initialized in a product state is subjected to either coherent or incoherent dynamics, the entropy of any of its connected partitions generically increases as a function of time, signalling the inevitable spreading of (quantum) information throughout the system. Here, we show that, in the presence of continuous symmetries and under ubiquitous experimental conditions, symmetry-resolved information spreading is inhibited due to the competition of coherent and incoherent dynamics: in given quantum number sectors, entropy decreases as a function of time, signalling dynamical purification. Such dynamical purification bridges between two distinct short and intermediate time regimes, characterized by a log-volume and log-area entropy law, respectively. It is generic to symmetric quantum evolution, and as such occurs for different partition geometry and topology, and classes of (local) Liouville dynamics. We then develop a protocol to measure symmetry-resolved entropies and negativities in synthetic quantum systems based on the random unitary toolbox, and demonstrate the generality of dynamical purification using experimental data from trapped ion experiments [Bry- dges al., Science 364, 260 (2019)]. Our work shows that symmetry plays a key role as a magnifying glass to characterize many-body dynamics in open quantum systems, and, in particular, in noisy-intermediate scale quantum devices.
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