# C. J. Bolech

## Professor

## Professor

### Geology-Physics Building

427

A&S Physics - 0011

## Professional Summary

**Research Areas**

Strongly Correlated Quantum Systems (SCQS): This includes many-body and quantum-field theories, quantum fluids, integrable systems, quantum information and tensor networks, non-equilibrium transport, mesoscopic systems, ultracold atomic gases and optical lattices, unconventional superconductivity, strongly correlated electrons (*e.g.*, quantum impurities and heavy fermions).

**Main interests**

Prof. Bolech is an applied mathematical physicist working mainly on the domains of theoretical *Atomic-Molecular-Optical* and *Condensed-Matter&Materials* physics (TAMOP and CMMT, respectively). From a technical perspective, his present TAMOP focus is on the use of generalized coherent states, tensor networks and non-linear optimization; while on the CMMT side he is currently focused on bosonization, renormalization and entanglement. His main interest is on SCQS. Strong correlations are one of the main theoretical (*viz.* computational and mathematical) challenges of current frontier problems in many areas of physics; ranging from condensed-matter to atomic, nuclear and particle physics. For example, strong nonlinear behaviours can be found in numerous systems such as heavy fermions, high-temperature superconductors, organic conductors, or quantum wires and dots (to the study of all of which he has contributed). Bolech's work combines the use and development of different computational and analytic non-perturbative approaches. These are applied to problems like the realization of exotic superconducting states of matter in optical lattices, the interplay of mixed valence and multi-channel Kondo physics in heavy fermions and quantum dots, the quantum tunneling of particles in correlated mesoscopic systems, the dynamics of vortices in quantum condensates, or the sudden expansion of interacting atomic gases.

## Education

Ph.D. + M.Phill.: Rutgers University New Jersey, 2002 (Physics & Astronomy)

M.S.: Rutgers University New Jersey, 2000 (Physics & Astronomy)

Lic.: Inst. Balseiro (UNC) Bariloche, 1996 (Physics)

## Research and Practice Interests

## Positions and Work Experience

2005 -2010 Assistant Professor, Rice University, Houston, TX

## Research Support

Grant: #R1583E / W911NF-07-1-0464 Investigators:C.J. Bolech et al. 01-01-2010 -06-30-2013 DARPA (DoD ARO) Optical Lattice Simulations of Correlated Fermions Role:PI $292,738 Completed

Grant: #R17941 / W911NF-13-1-0018 Investigators:C.J. Bolech et al. 11-15-2012 -12-31-2015 DARPA (DoD ARO) Quantum Phases of Matter in Optical Lattices Role:PI $121,000 Completed Type:Grant

Grant: #PHY-1708049 Investigators:C.J. Bolech 08-15-2017 -07-31-2020 National Science Foundation (NSF) Grassmann Matrix Product States as a Tool for Ultracold-atom Model Systems Role:PI $180,000 Active Type:Grant

Grant: #PICT-2017-2081 Investigators:C.J. Bolech et al. 12-01-2018 -12-31-2021 ANPCyT (arg) Interaction effects in low-dimensional topological materials Role:PI arg $122,063 Active Type:Grant

## Abbreviated Publications

### Peer Reviewed Publications

*Solution of the Two-channel Anderson Impurity Model: Implications for the Heavy Fermion UBe13.*

C. J. Bolech and N. Andrei, Phys. Rev. Lett. **88**, 237206 (2002).

*Point-contact Tunneling Involving Low-dimensional Spin-triplet Superconductors.*

C. J. Bolech and T. Giamarchi, Phys. Rev. Lett. **92**, 127001 (2004).

*Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media.*

C. J. Bolech and A. Rosso, Phys. Rev. Lett. **93**, 125701 (2004).

*Prediction of the Capacitance Line Shape in Two-channel Quantum Dots.*

C. J. Bolech and N. Shah, Phys. Rev. Lett. **95**, 036801 (2005).

*Mapping of the Anisotropic Two-Channel Anderson Model onto a Fermi-Majorana Biresonant Level Model.*

C. J. Bolech and A. Iucci, Phys. Rev. Lett. **96**, 056402 (2006).

*Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments.*

C. J. Bolech and E. Demler, Phys. Rev. Lett. **98**, 237002 (2007).

*Expansion of 1D Polarized Superfluids: The Fulde-Ferrell-Larkin-Ovchinnikov State Reveals Itself.*

H. Lu, L. O. Baksmaty, C. J. Bolech and H. Pu, Phys. Rev. Lett. **108**, 225302 (2012).

*Long-Time Behavior of the Momentum Distribution During the Sudden Expansion of a Spin-Imbalanced Fermi Gas in One Dimension.*

C. J. Bolech, F. Heidrich-Meisner, S. Langer, I. P. McCulloch, G. Orso and M. Rigol, Phys. Rev. Lett. **109**, 110602 (2012).

*Universal Out-of-Equilibrium Transport in Kondo-Correlated Quantum Dots: Renormalized Dual Fermions on the Keldysh Contour.*

E. Muñoz, C. J. Bolech and S. Kirchner, Phys. Rev. Lett. **110**, 016601 (2013).

## Post Graduate Training and Education

2002-2005 Postdoctoral Research Assistant, UniGe, , Geneva, Switzerland

## Professional Affiliation

1997 -To Present: Member American Physical Society (APS),

2009 -To Present: Member Society for Industrial and Applied Mathematics (SIAM),

2009 -To Present: Member American Association for the Advancement of Science (AAAS),

## Courses Taught

10W PHYS 845: Solid-State Physics I

10S PHYS 846: Solid-State Physics II

11W PHYS 201: General Physics I

11S PHYS 846: Solid-State Physics II

11A PHYS 845: Solid-State Physics I

12S PHYS 927: Advanced Topics in Solid-State Physics

12FS PHYS 8030: Advanced Statistical Physics

13SS PHYS 8031: Many-Body Theory I

13FS PHYS 8030: Advanced Statistical Physics

14SS PHYS 8031: Many-Body Theory I

14FS PHYS 8035: Condensed Matter Physics I

15SS PHYS 7006: Classical Particles and Fields II

15FS PHYS 8035: Condensed Matter Physics I

16SS PHYS 7002: Statistical Physics

16FS PHYS 8035: Condensed Matter Physics I

17SS PHYS 8036: Condensed Matter Physics II

18SS PHYS 7002: Statistical Physics

18FS PHYS 1051: General Physics I

19SS PHYS 7002: Statistical Physics

19FS PHYS 1051: General Physics I

20SS PHYS 7002: Statistical Physics

20FS PHYS 1051: General Physics I

21SS PHYS 8036: Condensed Matter Physics II

21FS PHYS 8010: Quantum Field Theory I

22SS PHYS 2001: College Physics I