Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems

Abstract

We study the dynamics of a transverse-field XY chain driven across quantum critical points by noisy control fields. We characterize the defect density as a function of the quench time and the noise strength, and demonstrate that the defect productions for three quench protocols with different scaling exponents exhibit the anti-Kibble-Zurek behavior, whereby slower driving results in more defects. The protocols are quenching through the boundary line between paramagnetic and ferromagnetic phases, quenching across the isolated multicritical point and along the gapless line, respectively. We also show that the optimal quench time to minimize defects scales as a universal power law of the noise strength in all the three cases. Furthermore, by using quantum simulation of the quench dynamics in the spin system with well-designed Landau-Zener crossings in pseudo-momentum space, we propose an experimentally feasible scheme to test the predicted anti-Kibble-Zurek behavior of this noisy transverse-field XY chain with two-level systems under controllable fluctuations.

9 pages, 4 figures; Revised version, accepted by PRB

References in corpus (11)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
• Emergence of coherence and the dynamics of quantum phase transitions
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Adiabatic dynamics in open quantum critical many-body systems
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Quenching along a gapless line: A different exponent for defect density
• Defect production due to quenching through a multicritical point

Cited by in corpus (20)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Coherent and dissipative dynamics at quantum phase transitions
• Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
• Universal anti-Kibble-Zurek scaling in fully-connected systems
• Experimentally verifying anti-Kibble-Zurek behavior in a quantum system under noisy control field
• Driven quantum spin chain in the presence of noise: Anti-Kibble-Zurek behavior
• Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Interferometry based on quantum Kibble-Zurek mechanism
• Driven one-dimensional noisy Kitaev chain
• Anti Kibble-Zurek behavior in the quantum XY spin-1/2 chain driven by correlated noisy magnetic field and anisotropy
• Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Entanglement generation and scaling from noisy quenches across a quantum critical point
• Topological Defects from Quantum Reset Dynamics
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench
• Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
• Finite-rate quench in disordered Chern and $Z_2$ topological insulators
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing