Computer simulations predict novel matter states in ultracold molecules

Researchers using powerful computer simulations have predicted the existence of several novel states of matter that could be formed by molecules chilled to temperatures near absolute zero. A team at TU Wien and the Vienna Center for Quantum Science and Technology has shown theoretically that under specific conditions, these ultracold dipolar molecules can spontaneously organize themselves into stable, self-bound structures, including superfluid membranes and monolayer crystals, without any external containment. These findings build upon recent experimental breakthroughs and open new avenues for the exploration of quantum phenomena and the engineering of new materials.

The theoretical work follows the landmark experimental achievement in 2023 by physicists at Columbia University, who successfully created Bose-Einstein condensates (BECs) from ultracold molecules for the first time. A BEC is a state of matter where particles cooled to near absolute zero coalesce into a single quantum state. The recent simulations investigated the behavior of these ultracold dipolar molecules, which have a positive and a negative electrical charge at opposite ends. This inherent polarity leads to complex, long-range interactions that are fundamentally different from those in ultracold atoms, providing the foundation for the emergence of these newly predicted, highly correlated forms of matter.

Advanced Computational Methods

To explore the complex quantum mechanical behavior of many interacting polar molecules, the research team utilized a sophisticated computational method known as path-integral quantum Monte Carlo simulations. This high-fidelity approach is particularly adept at capturing the quantum fluctuations and strong correlations that dominate at ultracold temperatures. The complexity of modeling the anisotropic, or directionally dependent, dipole-dipole interactions between numerous molecules requires immense computational power, making supercomputers essential for the investigation.

The simulations allowed the scientists to create a comprehensive phase diagram by systematically varying key parameters. They adjusted the number of particles, the strength of the interactions between molecules, and the geometry of the system. This in-depth exploration revealed the precise conditions under which a three-dimensional cloud of interacting dipolar molecules could transition into self-bound states. These calculations provide a theoretical roadmap for experimentalists, outlining the specific interaction strengths and conditions needed to observe these phenomena in a laboratory setting.

Predicted States of Matter

The simulations predict the formation of several distinct and stable quantum structures from an initially uniform gas of ultracold molecules. These states maintain their form without any external trap, held together solely by the intrinsic forces between the molecules.

Self-Bound Droplets

Under certain conditions, the simulations showed that a cloud of interacting molecules can coalesce into a self-bound droplet. Unlike a classical liquid, which is held together by van der Waals forces, these quantum droplets are stabilized by the intricate balance of attraction, repulsion, and quantum pressure arising from their dipole-dipole interactions. This state of matter is a pure quantum mechanical object, a collection of thousands of molecules acting in a coordinated, wave-like manner.

Superfluid Membranes and Monolayer Crystals

Perhaps the most striking predictions are the formation of two-dimensional structures: self-bound superfluid membranes and monolayer crystals. In these phases, the molecules arrange themselves into a single, flat sheet. Depending on the interaction strength, this sheet can behave like a superfluid, where particles can flow without any friction, or it can lock into a crystalline structure, forming a perfect, single-layer molecular grid. These represent entirely new, low-dimensional forms of quantum matter that have not been observed before.

The Role of Dipolar Interactions

The unique nature of polar molecules is central to these predictions. Unlike the simpler, contact-based interactions of most ultracold atoms, polar molecules interact via long-range dipole-dipole forces. This interaction is anisotropic, meaning its strength and sign (attractive or repulsive) depend on the relative orientation of the molecules. It is this complex, orientation-dependent force that encourages the molecules to self-organize into ordered structures. The interplay between these forces and the inherent quantum motion of the particles drives the transition from a disordered gas into the highly correlated and structured phases predicted by the simulations.

A key aspect of the findings is that these transitions are predicted to occur at interaction strengths that do not cause molecules to become irreversibly bound in pairs. This is a crucial detail for experimental efforts, as it suggests the systems can remain stable against loss processes like three-body recombination, where three particles approach closely and two bind, ejecting the third. This stability makes the prospect of experimentally verifying these phases far more likely.

New Avenues for Quantum Science

The prediction of these novel matter states has significant implications for several areas of physics. “BECs of ultracold polar molecules were a decade-long goal, but have only been realized experimentally very recently,” Matteo Ciardi, a co-author of the paper published in Physical Review Letters, told Phys.org. The theoretical discovery of these new correlated states shows they could be probed in future experiments, providing a tangible next step for the field.

Engineered Quantum Materials

The ability to create stable, low-dimensional quantum materials like superfluid membranes or molecular crystals opens the door to new forms of quantum engineering. These structures could be used as highly controllable platforms for quantum simulations, allowing scientists to model the behavior of other complex systems, such as electrons in a crystal lattice, in a clean and precisely controlled environment. This could help answer fundamental questions in condensed matter physics and materials science.

Probing Quantum Phenomena

These novel phases also offer new opportunities to study fundamental quantum phenomena. The superfluid membranes would be ideal systems for investigating superfluidity in two dimensions, a topic of great theoretical interest. The transition between the superfluid and crystalline phases could provide insights into the processes of quantum phase transitions and the nature of symmetry breaking in quantum systems. The convergence of advanced computational modeling and evolving experimental capabilities is rapidly advancing the frontier of quantum matter research.

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