Boson or fermion
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Understanding Bosons and Fermions: Key Insights from Recent Research
Fermion-Boson Stars: Composition and Stability
Fermion-Boson Stars are intriguing astrophysical objects composed of both fermionic and bosonic matter. These stars combine ordinary nuclear matter, such as that found in neutron stars, with bosonic dark matter, typically modeled as a complex scalar field. Recent studies have extended this model to include charged bosonic fields, revealing that such stars can be more massive and compact due to the additional charge1. The stability of these stars is a critical area of research, with findings indicating that the presence of a fermionic core can stabilize configurations that include nodes in the bosonic sector3 6.
Bosonization Techniques in Quantum Systems
Bosonization is a powerful technique used to study one-dimensional fermionic systems by transforming them into equivalent bosonic systems. This method has been extended to non-equilibrium conditions, providing insights into phenomena such as energy distribution, zero-bias anomalies, and dephasing in quantum wires2. Additionally, non-abelian bosonization in two dimensions has been developed, showing that any fermionic theory in 1+1 dimensions can be equivalently described by a local bosonic theory7.
Duality and Interactions in Boson-Fermion Systems
Boson-Fermion Duality explores the deep connections between bosonic and fermionic theories. In a 2+1 dimensional setting, duality has been studied in the presence of background curvature and electromagnetic fields, revealing that a relativistic composite boson can be dual to a short-range interacting Dirac fermion5. This duality is crucial for understanding the behavior of these particles in different physical contexts, including gravitational backgrounds.
Numerical Studies and Quantum Computation
Numerical Studies of fermion and boson models with infinite-range random interactions have provided valuable insights into the entropy density and Green's functions of these systems. These studies are consistent with theoretical predictions and help in understanding the complex behavior of these particles at different temperatures4. Furthermore, advancements in Digital Quantum Computation have made it feasible to simulate fermion-boson interacting systems on quantum computers. This method allows for precise descriptions of these systems and has potential applications in various fields, including particle physics and condensed matter8.
Unification and Stochastic Calculus
The Unification of Fermion and Boson Stochastic Calculus demonstrates that fermion annihilation and creation processes can be realized within boson Fock space, and vice versa. This unification simplifies the study of stochastic evolutions driven by fermion and gauge noise, reducing them to equivalent boson problems9.
Conclusion
The research on bosons and fermions spans a wide range of topics, from the astrophysical properties of fermion-boson stars to the mathematical techniques of bosonization and duality. These studies not only deepen our understanding of fundamental particles but also pave the way for practical applications in quantum computation and beyond. The interplay between fermions and bosons continues to be a rich field of exploration, promising new discoveries and technological advancements.
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Most relevant research papers on this topic
Fermion–charged-boson stars
An increase in charge in fermion-charged-boson stars can lead to more massive and compact stars, with the fermion and boson sectors contributing to the total mass of the star.
Bosonization of one-dimensional fermions out of equilibrium
The bosonization technique can effectively study one-dimensional fermions out of equilibrium, providing insights into energy distribution, zero-bias anomaly, and dephasing in quantum wires attached to electrodes.
Dynamical formation and stability of fermion-boson stars
Fermion-boson stars can form and stabilize in a dynamic scenario, with a fermionic core potentially helping stabilize configurations with nodes in the bosonic sector.
Numerical study of fermion and boson models with infinite-range random interactions
The SYK models show non-zero entropy density in the limit of vanishing temperature, and the hard-core boson model shows spin glass order.
Highly CitedBoson–fermion duality in a gravitational background
In a gravitational background, the relativistic composite boson is dual to a short-range interacting Dirac fermion, preserving worldline topologies and preventing unknotting of knots.
Fermion-boson stars with a quartic self-interaction in the boson sector
Fermion-boson stars with a quartic self-interaction in their bosonic part show a qualitatively similar stability analysis, with the stability and instability regions being qualitatively the same for any value of the quartic self-interaction.
Non-abelian bosonization in two dimensions
This generalization allows for a local bose theory to be equivalent to a fermi theory in 1+1 dimensions, preserving all the symmetries of the fermi theory.
Highly CitedDigital quantum computation of fermion-boson interacting systems
Our method enables quantum algorithms for bosonic and fermion-boson interacting systems, enabling near-future simulations of electron-phonon and similar systems in particle physics and condensed matter.
Unification of fermion and Boson stochastic calculus
This unification simplifies the existence of unitary stochastic evolutions driven by Fermion and gauge noise, reducing it to an equivalent Boson problem and enabling a solution to the Fermion problem.
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