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Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator
Jorge Chávez-Carlos1, Talía L M Lezama2, Rodrigo G Cortiñas3
1Department of Physics, University of Connecticut, Storrs, CT 06269 USA.
Transmon qubits simulate excited state quantum phase transitions (ESQPTs). Spectral kissing in driven transmons signals ESQPT precursors, showing unique quantum dynamics like exponential growth in correlators.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum information science
Background:
- Transmon qubits are key elements in quantum computing and information processing.
- Beyond qubits, transmons function as multilevel nonlinear oscillators with applications in fundamental physics.
- Quantum phase transitions (QPTs) typically describe ground state changes, but excited state QPTs (ESQPTs) generalize this to excited states.
Purpose of the Study:
- To explore transmon qubits as simulators for excited state quantum phase transitions (ESQPTs).
- To investigate the phenomenon of spectral kissing in driven superconducting circuits as a precursor to ESQPTs.
- To analyze the dynamical consequences and observable signatures of ESQPTs in transmon systems.
Main Methods:
- Utilizing driven SNAIL-transmon superconducting circuits as a physical platform.
- Analyzing the effective Hamiltonian of the transmon system to identify spectral kissing.
- Simulating and observing dynamical features such as out-of-time-ordered correlators (OTOCs) and survival probability evolution.
Main Results:
- Experimental observation of spectral kissing in a driven SNAIL-transmon, identified as an ESQPT precursor.
- Demonstration of dynamical consequences including exponential growth and periodic revivals of OTOCs.
- Observation of slow survival probability evolution indicative of localization, a signature of ESQPT.
Conclusions:
- Transmon qubits serve as viable simulators for studying ESQPTs and their unique quantum dynamics.
- Observed spectral kissing is a direct experimental signature preceding ESQPTs in superconducting circuits.
- The identified ESQPT signatures are experimentally accessible with current superconducting circuit technology and relevant to other quantum systems.
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