Observation of Emergent ℤ2 Gauge Invariance in a Superconducting Circuit

  1. Zhan Wang,
  2. Zi-Yong Ge,
  3. Zhongcheng Xiang,
  4. Xiaohui Song,
  5. Rui-Zhen Huang,
  6. Pengtao Song,
  7. Xue-Yi Guo,
  8. Luhong Su,
  9. Kai Xu,
  10. Dongning Zheng,
  11. and Heng Fan
Lattice gauge theory (LGT) is one of the most fundamental subjects in modern quantum many-body physics, and has recently attracted many research interests in quantum simulations. Here
we experimentally investigate the emergent ℤ2 gauge invariance in a 1D superconducting circuit with 10 transmon qubits. By precisely adjusting the staggered longitude and transverse fields to each qubit, we construct an effective Hamiltonian containing a LGT and gauge-broken terms. The corresponding matter sector can exhibit localization, and there also exist a 3-qubit operator, of which the expectation value can retain nonzero for long time in a low-energy regime. The above localization can be regarded as confinement of the matter field, and the 3-body operator is the ℤ2 gauge generator. Thus, these experimental results demonstrate that, despite the absent of gauge structure in the effective Hamiltonian, ℤ2 gauge invariance can still emerge in the low-energy regime. Our work paves the way for both theoretically and experimentally studying the rich physics in quantum many-body system with an emergent gauge invariance.

Probing Operator Spreading via Floquet Engineering in a Superconducting Circuit

  1. S. K. Zhao,
  2. Zi-Yong Ge,
  3. Zhongcheng Xiang,
  4. G. M. Xue,
  5. H. S. Yan,
  6. Z. T. Wang,
  7. Zhan Wang,
  8. H. K. Xu,
  9. F. F. Su,
  10. Z. H. Yang,
  11. He Zhang,
  12. Yu-Ran Zhang,
  13. Xue-Yi Guo,
  14. Kai Xu,
  15. Ye Tian,
  16. H. F. Yu,
  17. D. N. Zheng,
  18. Heng Fan,
  19. and S. P. Zhao
Operator spreading, often characterized by out-of-time-order correlators (OTOCs), is one of the central concepts in quantum many-body physics. However, measuring OTOCs is experimentally
challenging due to the requirement of reversing the time evolution of the system. Here we apply Floquet engineering to investigate operator spreading in a superconducting 10-qubit chain. Floquet engineering provides an effective way to tune the coupling strength between nearby qubits, which is used to demonstrate quantum walks with tunable coupling, dynamic localization, reversed time evolution, and the measurement of OTOCs. A clear light-cone-like operator propagation is observed in the system with multiphoton excitations, and the corresponding spreading velocity is equal to that of quantum walk. Our results indicate that the method has a high potential for simulating a variety of quantum many-body systems and their dynamics, which is also scalable to more qubits and higher dimensional circuits.

Rapid and Unconditional Parametric Reset Protocol for Tunable Superconducting Qubits

  1. Yu Zhou,
  2. Zhenxing Zhang,
  3. Zelong Yin,
  4. Sainan Huai,
  5. Xiu Gu,
  6. Xiong Xu,
  7. Jonathan Allcock,
  8. Fuming Liu,
  9. Guanglei Xi,
  10. Qiaonian Yu,
  11. Hualiang Zhang,
  12. Mengyu Zhang,
  13. Hekang Li,
  14. Xiaohui Song,
  15. Zhan Wang,
  16. Dongning Zheng,
  17. Shuoming An,
  18. Yarui Zheng,
  19. and Shengyu Zhang
Qubit initialization is critical for many quantum algorithms and error correction schemes, and extensive efforts have been made to achieve this with high speed and efficiency. Here
we experimentally demonstrate a fast and high fidelity reset scheme for tunable superconducting qubits. A rapid decay channel is constructed by modulating the flux through a transmon qubit and realizing a swap between the qubit and its readout resonator. The residual excited population can be suppressed to 0.08% ± 0.08% within 34 ns, and the scheme requires no additional chip architecture, projective measurements, or feedback loops. In addition, the scheme has negligible effects on neighboring qubits, and is therefore suitable for large-scale multi-qubit systems. Our method also offers a way of entangling the qubit state with an itinerant single photon, particularly useful in quantum communication and quantum network applications.

Observation of Bloch Oscillations and Wannier-Stark Localization on a Superconducting Processor

  1. Xue-Yi Guo,
  2. Zi-Yong Ge,
  3. Hekang Li,
  4. Zhan Wang,
  5. Yu-Ran Zhang,
  6. Peangtao Song,
  7. Zhongcheng Xiang,
  8. Xiaohui Song,
  9. Yirong Jin,
  10. Kai Xu,
  11. Dongning Zheng,
  12. and Heng Fan
In a crystal lattice system, a conduction electron can exhibit Bloch oscillations and Wannier-Stark localization (WSL) under a constant force, which has been observed in semiconductor
superlattice, photonic waveguide array and cold atom systems. Here, we experimentally investigate the Bloch oscillations on a 5-qubit superconducting processor. We simulate the electron movement with spin (or photon) propagation. We find, in the presence of a linear potential, the propagation of a single spin charge is constrained. It tends to oscillate near the neighborhood of initial positions, which is a strong signature of Bloch oscillations and WSL. In addition, we use the maximum probability that a spin charge can propagate from one boundary to another boundary to represent the WSL length, and it is verified that the localization length is inversely correlated to the potential gradient. Remarkably, benefiting from the precise simultaneous readout of the all qubits, we can also study the thermal transport of this system. The experimental results show that, similar to the spin charges, the thermal transport is also blocked under a linear potential. Our work demonstrates possibilities for further simulation and exploration of the Bloch oscillation phenomena and other quantum physics using multiqubit superconducting quantum processor.