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Spin Liquid and Superconductivity Emerging from Steady States and Measurements
Kaixiang Su1, Abhijat Sarma1, Marcus Bintz2
1University of California, Department of Physics, Santa Barbara, California 93106, USA.
Physical Review Letters
|August 18, 2025
Summary
We mapped fermion states to Gutzwiller projected wave functions, revealing algebraic spin liquids and predicting superconductivity emergence through U(1) symmetry breaking in quantum systems.
Area of Science:
- Quantum Information Theory
- Condensed Matter Physics
Background:
- Gutzwiller projection is key for constructing spin liquid states.
- Understanding mixed states in quantum evolution is crucial.
Purpose of the Study:
- To map mixed states from Lindbladian evolution and measurements to Gutzwiller projected wave functions.
- To explore the emergence of spin liquids and superconductivity in these mapped states.
Main Methods:
- Utilizing the Choi-Jamiołkowski isomorphism to represent density matrices.
- Applying Gutzwiller projection to fermion wave functions.
- Analyzing Lindbladian evolution and strong local measurements.
Main Results:
- Demonstrated a mapping from fermion mixed states to Gutzwiller projected wave functions in a doubled Hilbert space.
- Showcased the emergence of algebraic spin liquids from gapless free Dirac fermion states.
- Predicted spontaneous U(1) symmetry breaking leading to superconductivity in the doubled Hilbert space.
Conclusions:
- The study provides a novel framework for understanding mixed states in quantum systems.
- It connects quantum measurement and evolution to established methods for creating exotic quantum states.
- An experimental protocol is proposed for realizing these predicted phenomena.
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