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Science
15 March 2025

New Insights Into Entanglement At Quantum-Critical Points

Research reveals significant quantum changes within strange metals, emphasizing strong entanglement behaviors.

The quest to understand the fundamental behaviors of strange metals has taken a fascinating turn, as new research uncovers significant insights about quantum entanglement at the quantum-critical point (QCP) using the Anderson/Kondo lattice model. This study demonstrates how the quantum Fisher information (QFI)—a measure of the entanglement strength—peaks right at the Kondo destruction QCP, highlighting the complex relationship between entanglement and the enigmatic properties of strange metals.

Strange metals represent one of the most perplexing classes of materials within condensed matter physics, often exhibiting behaviors unfitting classical descriptions such as Landau's theory. These materials, characterized by their unusual temperature dependence of resistivity, become particularly compelling near their quantum-critical points, which are settings where quantum fluctuations dominate.

Co-authored by Y. Fang and M. Mahankali along with others, this research exploits the concept of quantum Fisher information as a tool to probe the entanglement characteristics found within strange metals. The practical significance lies in the peak value of the spin quantum Fisher information at the QCP, which indicates not merely strong entanglement but also poses questions about the behavior of quasiparticles—entities traditionally understood as the fundamental building blocks of matter.

Researchers have experimented with heavy fermion metals such as CeCu5.9Au0.1 and Ce3Pd20Si6 to extract this quantum Fisher information through inelastic neutron scattering methods. Findings indicate not just a peak but also suggest the emergence of multipartite entanglement, with normalized QFI densities reaching values around 2.2 at the QCP, exceeding bounds typically associated with less complex entangled states.

One of the standout aspects of this study is its focus on the peculiar existence of the Kondo destruction—an extraordinary phase transition between Kondo-singlet states and those dominated by local magnetic moments, referred to as Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions. Traditionally, this phenomenon had posed significant challenges to theoretical physicists who struggled to encapsulate the behaviors of such systems under the framework traditionally utilized for phase transitions.

Uniquely, as the tuning parameter increases, indicating movement across the Kondo destruction QCP, previous assumptions about the behavior of quasiparticles have been challenged. Surprisingly, even when Kondo singlets are thought to be destroyed, evidence of significant mutual information—a proxy for entanglement—persists, indicating underlying correlations may still remain intact within the system.

The calculated peak reveals evidence for significant multipartite entanglement which suggests the presence of shared entanglement across multiple spins. This is particularly exciting, as it substantiates the potential for enhanced entanglement often theorized but less empirically observed within the framework of complex quantum systems.

The broader impact of these findings cannot be understated, as they pave the way for utilizing quantum entanglement measures such as QFI not only as theoretical constructs but as tangible tools to probe and understand complex physical phenomena. Beyond metallic quantum systems, their applicability might extend to various realms of quantum science—potentially informing our grasp of quantum states across condensed matter physics.

Importantly, this study enriches foundational understandings of strange metallicity and invites new investigations focused on probing quantum entanglement across varying degrees of freedom. Future exploration may include delving even more deeply than this research has done, possibly utilizing charge quantum Fisher information and new spectroscopic techniques to amplify our observations of these wondrous complex materials.

Overall, the elucidation of quantum-critical metal behaviors, framed through the entanglement lens, highlights the dynamism within the field of quantum information science and fosters excitement about the discoveries yet to come. The loss of quasiparticles signifies more than just loss—it indicates the emergence of something fundamentally new, shedding light on the extraordinary interplay between quantum mechanics and the physical manifestations we see around us.